M. I. Ostrovskii

 

List of publications (for most papers availability of electronic versions is mentioned)

 

107. A characterization of superreflexivity through embeddings of lamplighter groups (with Beata Randrianantoanina); available on arXiv.

 

106. Lipschitz free spaces on finite metric spaces (with Stephen J. Dilworth and Denka Kutzarova); available on arXiv.

 

105. On embeddings of locally finite metric spaces into p (with Sofiya Ostrovska); available on arXiv.

 

104. There is no finitely isometric Krivine's theorem (with J. Kilbane), Houston J. Math., 44 (2018), no. 1, 309–317; available on arXiv.

 

103. Images of nowhere differentiable Lipschitz maps of [0,1] into L1[0,1], (with F.Catrina); Fundamenta Mathematicae, 243, (2018), 75-83; available on arXiv.

 

102. A new approach to low-distortion embeddings of finite metric spaces into non-superreflexive Banach spaces, (with B. Randrianantoanina), Journal of Functional Analysis, 273 (2017), no. 2, 598–651; DOI 10.1016/j.jfa.2017.03.017; available on arXiv.

 

101. Distortion of embeddings of binary trees into diamond graphs, (with Siu Lam Leung, S. Nelson, and S. Ostrovska), Proc. Amer. Math. Soc., 146 (2018), no. 2, 695-704; available on arXiv.

 

100. Distortion in the finite determination result for embeddings of locally finite metric spaces into Banach spaces, (with S. Ostrovska); Glasgow Math. J., to appear; doi:10.1017/S0017089518000022, available on arXiv.

 

99. Nonexistence of embeddings with uniformly bounded distortions of Laakso graphs into diamond graphs (with S. Ostrovska), Discrete Mathematics, 340 (2017), no. 2, 9–17; available on arXiv.

 

98. Metric spaces admitting low-distortion embeddings into all n-dimensional Banach spaces (with B. Randrianantoanina), Canadian Journal of Mathematics, 68 (2016), no. 4, 876907; available on ArXiv.

 

97. Metric characterizations of some classes of Banach spaces, in: Harmonic Analysis, Partial Differential Equations, Complex Analysis, Banach Spaces, and Operator Theory, Celebrating Cora Sadosky's life, M.C. Pereyra, S. Marcantognini, A.M. Stokolos, W.U. Romero (Eds.), Association for Women in Mathematics Series, Vol. 4, pp. 307-347, Springer-Verlag, Berlin, 2016; available on ArXiv.

 

96. Metric dimensions of minor excluded graphs and minor exclusion in groups (with D. Rosenthal), International Journal of Algebra and Computation, 25 (2015), no. 4, 541-554; available on ArXiv.

 

95. Connections between metric characterizations of superreflexivity and the Radon-Nikodým property for dual Banach spaces, Canadian Mathematical Bulletin, 58 (2015), no. 1, 150-157, available on ArXiv.

 

94. Metric spaces nonembeddable into Banach spaces with the Radon-Nikodým property and thick families of geodesics, Fundamenta Mathematicae, 227 (2014), 85-95, available on their web site for subscribers, available on ArXiv.

 

93. Metric characterizations of superreflexivity in terms of word hyperbolic groups and finite graphs, Analysis and Geometry in Metric Spaces, 2 (2014), 154-168, the final version is an OPEN ACCESS publication, you can get the free final version here; the paper is also available on ArXiv.

 

92. Radon-Nikodym property and thick families of geodesics, J. Math Anal. Appl., 409 (2014), no. 2, 906-910; available on their web site for subscribers; available on ArXiv.

 

91. Spanning tree congestion of planar graphs, (with Hiu Fai Law and Siu Lam Leung), Involve. A Journal of Mathematics, 7 (2014), no. 2, 205–226; available on their web site for subscribers.

 

90. On metric characterizations of the Radon-Nikodym and related properties of Banach spaces, Journal of Topology and Analysis, 6 (2014), 441–464, DOI: 10.1142/S1793525314500186, available on their web site for subscribers, available on ArXiv.

 

89. Dependence of Kolmogorov widths on the ambient space, Journal of Mathematical Physics, Analysis, Geometry, 9 (2013), no. 1, 25-50, available on their web site for free, available on ArXiv (with T. Oikhberg).

 

88. Test-space characterizations of some classes of Banach spaces, in: Algebraic Methods in Functional Analysis, The Victor Shulman Anniversary Volume, I.G. Todorov, L. Turowska (Eds.), Operator Theory: Advances and Applications, Vol. 233, Birkhäuser, Basel, 2014, pp. 103-126, available on ArXiv.

 

87. Low-distortion embeddings of graphs with large girth, Journal of Functional Analysis, 262 (2012), 3548-3555; available on their web site for subscribers, preliminary version is available on ArXiv.

 

86. Different forms of metric characterizations of classes of Banach spaces, Houston J. Math., 39 (2013), no. 3, 889-906, available on their web site for subscribers, available on ArXiv.

 

85a.Mikhail Iosifovich Kadets (obituary), (Russian), Uspekhi Mat. Nauk, 66 (2011), no. 4, 179-180; English transl.: Russian Math. Surv. 66 (2011), no. 4, 809-811 (with Y.I. Lyubich V.A.Marchenko, S.P. Novikov, L.A. Pastur, A.N. Plichko, M.M. Popov, E.M. Semenov, S.L. Troyanski, V.P. Fonf, and E.Ya. Khruslov); available on their web sites for subscribers.

 

85. Embeddability of locally finite metric spaces into Banach spaces is finitely determined, Proc. Amer. Math. Soc., 140 (2012), 2721-2730; available on their web site for subscribers, available on ArXiv.

 

84. Spanning tree congestion: duality and isoperimetry; with an application to multipartite graphs (with H.-F. Law), Graph Theory Notes of New York, 58, (2010), 18-26. The final version is available free of charge: search GTN58 on google.

 

83. On metric characterizations of some classes of Banach spaces, Comptes rendus de l'Academie bulgare des Sciences, 64, (2011), no. 6, 775-784. The final version is available free of charge from the publisher (http://www.proceedings.bas.bg/).

 

82. Spanning tree congestion of some product graphs, (with H.-F. Law), Proceedings, Third Dr. George Bachman Memorial Conference, Indian Journal of Mathematics, 52, Supplement (2010), 103-111.

 

81. Weak* closures and derived sets in dual Banach spaces, Note di Matematica, 31 (2011), no. 1, 129-138. The paper is available free of charge from the publisher.

 

80. Fixed points of holomorphic transformations of operator balls (with V.S. Shulman and L. Turowska), Quarterly Journal of Mathematics, 62 (2011), 173-187. Available on their web site for subscribers.

 

79. Minimum congestion spanning trees in planar graphs, Discrete Mathematics, 310 (2010), no. 6-7, 1204-1209; available on their web site for subscribers.

 

78. Strictly decreasing m-proportional Lorentz sequences, Indian Journal of Mathematics, 51 (2009), Supplement, Proceedings, Second Dr. George Bachman Memorial Conference, Allahabad Mathematical Society, pp. 147-151.

 

77. Asymptotic properties of Kolmogorov widths, Bulletin of the Australian Mathematical Society, 82 (2010), 10-17; available at Cambridge University Press for subscribers.

 

76. Unitarizable representations and fixed points of groups of biholomorphic transformations of operator balls (with V.S. Shulman and L. Turowska), Journal of Functional Analysis, 257 (2009), 2476-2496. The final version is available for subscribers from the publisher.

 

75. Weak operator topology, operator ranges and operator equations via Kolmogorov widths (with V.S. Shulman), Integral Equations and Operator Theory, 65 (2009), 551–572. The original publication is available at www.springerlink.com

 

74. Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space, Comptes rendus de l'Academie bulgare des Sciences, 62 (2009), 415-420. The final version is available free of change from the publisher (http://www.proceedings.bas.bg/). An expanded version is available on the web site of arXiv.

 

73. Auerbach bases and minimal volume sufficient enlargements, Canadian Mathematical Bulletin, 54 (2011), 726-738. The final version is available for subscribers from the publisher.

 

72. On the Ukrainian translation of “Théorie des opérations linéaires'' and Mazur's updates of the “Remarks” section, (with A. M. Plichko), Mat. Stud., 32 (2009), 96-111.

 

71. Minimum congestion spanning trees of grids and discrete toruses, (with A. Castejon), Discussiones Mathematicae Graph Theory, 29 (2009), 511-519.

 

70. Sufficient enlargements in the study of projections in normed linear spaces, Indian Journal of Mathematics, Golden Jubilee Year Volume, 2008 (Supplement), Proceedings, Dr. George Bachman Memorial Conference, The Allahabad Mathematical Society, pp 105-122. 

 

69. Sufficient enlargements of minimal volume for finite dimensional normed linear spaces, Journal of Functional Analysis, 255 (2008) no. 3, 589-619; DOI: 10.1016/j.jfa.2008.04.012. The final version is available for subscribers from the publisher.

 

68. Minimizing the volume of projections in Banach spaces, Comptes rendus de l'Academie bulgare des Sciences, 60 (2007), 1147--1150. The paper is available free of charge from the publisher (http://www.proceedings.bas.bg/).

 

67. Coarse embeddability into Banach spaces, Topology Proceedings, 33 (2009) pp. 163-183; available for subscribers (click here).

 

66. Minimum congestion spanning trees in bipartite and random graphs, Acta Mathematica Scientia, 31B (2011), no. 2, 634–640.

 

65a. On comparison of the coarse embeddability into a Hilbert space and into other Banach spaces, unpublished manuscript, October 2006.

 

65. Coarse embeddings of locally finite metric spaces into Banach spaces without cotype, Comptes rendus de l'Academie bulgare des Sciences, 59 (2006), no. 11, 1113-1116.

 

64. Linear fractional relations in Banach spaces: interior points in the domain and analogues of the Liouville theorem, Glasgow Mathematical Journal, 49 (2007), no. 2, 257-268; Copyrighted by Glasgow Mathematical Journal Trust. The final version is available for subscribers from the publisher.

 

63. Quadratic inequalities for Hilbert space operators (with V.A. Khatskevich and V.S. Shulman), Integral Equations and Operator Theory, 59 (2007), 19-34. The original publication is available at www.springerlink.com

 

62. Isometries of Sobolev spaces on graphs, Colloquium Mathematicum, 109 (2007), 287-295. The final version is available for subscribers from the publisher.

 

61. Compositions of projections in Banach spaces and relations between approximation properties, Rocky Mountain Journal of Mathematics, 38 (2008), no. 4, 1253-1262. The final version is available for subscribers from the publisher.

 

60. Operator quadratic inequalities and linear fractional relations (with V.A. Khatskevich and V.S. Shulman), (in Russian), Funktsional’nyi Analiz i ego Prilozheniya, 41 (2007), no. 4, 83-87; English translation: Functional Analysis and its Applications, 41 (2007), 314-317. The final versions (both English and Russian) are available for subscribers from the publishers. Russian version should be free starting January 2011 at http://www.mathnet.ru/

 

59.  Analogues of the Liouville theorem for linear fractional relations in Banach spaces (with V.A. Khatskevich and V.S. Shulman), Bulletin of the Australian Mathematical Society, 73 (2006), 89-105. The final version is available for subscribers from Cambridge University Press.

 

58. Sobolev spaces on graphs, Quaestiones Mathematicae, 28 (2005), 501-523. The final version is available for subscribers from the publisher.

 

57. Linear fractional relations for Hilbert space operators (with V. A. Khatskevich and V. S. Shulman), Mathematische Nachrichten, 279 (2006), 875-890. The final version is available for subscribers from the publisher.

 

56a. Vladimir Il’ich Gurariy (1935-2005), Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii, 1 (2005), no. 2, 245-247 (with V.P. Gurarii, M.I. Kadets, V.A. Marchenko, V.I. Matsaev, I.V. Ostrovskii, L.A. Pastur, F.S. Rofe-Beketov, and E.Ya. Khruslov). The paper is available free of charge from the publisher.

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56. Minimal congestion trees, Discrete Math., 285 (2004) 219-226. The final version is available for subscribers from the publisher.

55. Finite dimensional characteristics related to superreflexivity of Banach spaces, Bulletin of the Australian Mathematical Society, 69 (2004) 289-295. The final version is available for subscribers from Cambridge University Press.

54a. Norm-attaining operators (Research problem), Extracta Math., 20 (2005), 65-66.

54. Extremal problems for operators in Banach spaces arising in the study of linear operator pencils, II, Integral Equations and Operator Theory, 51 (2005) 553-564. The final version is available for subscribers from the publisher.

53a. Mikhail Iosifovich Kadets (on the occasion of his 80 birthday), (Russian), Uspekhi Mat. Nauk, 59 (2004), no.5, 183--185; English transl.: Russian Math. Surv. 59 (2004), 1001-1004 (with V.A. Marchenko, S.P. Novikov, I.V. Ostrovskii, L.A. Pastur, A.N. Plichko, M.M. Popov, S.L. Troyanski, V.P. Fonf, and E.Ya. Khruslov). The final version is available for subscribers from the publisher. Russian version is free at http://www.mathnet.ru/

53. Sufficient enlargements of minimal volume for two-dimensional normed spaces, Mathematical Proceedings of the Cambridge Philosophical Society, 137 (2004), 377-396. The final version is available for subscribers from the publisher.

52. Extremal problems for operators in Banach spaces arising in the study of linear operator pencils (with V. A. Khatskevich and V. S. Shulman), Integral Equations and Operator Theory, 51 (2005), 109-119. The final version is available for subscribers from the publisher.

51. Minimal volume projections of cubes and totally unimodular matrices, Linear Algebra and its Applications, 364 (2003), 91-103. The final version is available for subscribers from the publisher.

50. A new class of normed spaces with non-trivial groups of isometries and some estimates for operators with given action, Rocky Mountain Journal of Mathematics, 34 (2004), no. 1, 59-81 (with B. L. Chalmers). The final version is available for subscribers from the publisher.

49. Paths between Banach spaces, Glasgow Math. J., 44 (2002), 261-273; Copyrighted by Glasgow Mathematical Journal Trust. The final version is available for subscribers from the publisher.

48. Hahn-Banach operators, Proc. Amer. Math. Soc., 129 (2001), 2923-2930. Can be downloaded from http://front.math.ucdavis.edu/ The paper is available free of charge from the publisher.

47. Weak* sequential closures in Banach space theory and their applications, in: "General Topology in Banach Spaces", ed. by T. Banakh and A. Plichko, Nova Sci. Publ., Huntington, New York, 2001, pp. 21--34.

46.  Minimal-volume shadows of cubes, J. Funct. Anal, 176 (2000), no. 2, 317--330. The final version is available for subscribers from the publisher.

45.  Hahn-Banach operators: a review, J. Comput. Anal. Appl., 5 (2003), no. 1, 11-24 (with B. L. Chalmers and B. Shekhtman). The final version is available for subscribers from the publisher.

44.  A short proof of the result on actions that characterize ln, Linear Algebra and its Applications, 294 (1999), 193--195, MR2000d:46016. The final version is available for subscribers from the publisher.

43.   Completions with respect to total nonnorming subspaces, Matematicheskaya Fizika, Analiz i Geometriya, 6 (1999), no. 3/4, 317--322. Can be downloaded  here.

42b. Mikhail Iosifovich Kadets (on the occasion of his 75th birthday). (Russian), Matematicheskaya Fizika, Analiz i Geometriya, 6 (1999), no. 1/2, 191--194, (with V. A. Marchenko, K. V. Maslov, S. P. Novikov, I. V. Ostrovskii, L. A. Pastur, A. V. Pogorelov, V. P. Fonf, S. Ya. Khavinson and E. Ya. Khruslov).

42a.  Projections  in normed linear spaces and sufficient enlargements, Seminaire Initiation a l'Analyse G. Choquet, G. Godefroy, M. Rogalski, J. Saint Raymond, 36 Annee, 1996/1997, N 5, 6 pp.

42.  Projections in normed linear spaces and sufficient enlargements, Archiv der Math., 71 (1998), no. 4, 315--324, MR99h:46019. (If your department subscribes the electronic version of "Archiv der Mathematik" you can download the paper here.) Preliminary version can be downloaded from http://front.math.ucdavis.edu/

41.  Generalization of projection constants: sufficient enlargements, Extracta Math., 11 (1996), no. 3, 466--474, MR98i:46013. Available from Biblioteca Digital Española de Matemáticas free of charge.

40.  Distances between Banach spaces, Forum Math., 11 (1999), 17--48, (with N. J. Kalton), MR2000c:46024. Can be downloaded from http://front.math.ucdavis.edu/ (If your department subscribes the electronic version of "Forum Mathematicum" you can download the final version of the paper here.)

39.  On prequojections and their duals, Revista Mat. Univ. Complutense Madrid, 11 (1998), 59--77, MR99k:46005. The paper is available free of charge from the publisher.

38.  On norming Markushevich bases, Mat. Stud., 5 (1995), 39--42, MR2000e:46012.

37.  Classes of Banach spaces stable and unstable with respect to the opening, Quaestiones Math., 19 (1996), no. 1-2, 191--210, MR97e:46016. Can be downloaded from http://front.math.ucdavis.edu/

36.  Quojections without Banach subspaces, Bull. Pol. Acad. Sc., 44 (1996), no. 2, 143--146, MR97h:46002. Can be downloaded from http://front.math.ucdavis.edu/

35.  Operator ranges in Banach spaces, I, Math. Nachr., 173 (1995), 91-114 (with R. W. Cross and V. V. Shevchik), MR96k:46022. Available for subscribers from the publisher.

34.  Topologies on the set of all subspaces of a Banach space and related questions of Banach space geometry, Quaestiones Math., 17 (1994), no. 3, 259-319, MR95i: 46022. Can be downloaded from http://front.math.ucdavis.edu/

33a. Mikhail Iosifovich Kadets (on the occasion of his seventieth birthday). (Russian), Uspekhi Mat. Nauk 49 (1994), no. 3, 205--206; English transl.: Russian Math. Surveys 49 (1994), no. 3, 223--225, (with Yu. M. Berezanskii, V. A. Marchenko, S. P. Novikov, I. V. Ostrovskii, L. A. Pastur, A. V. Pogorelov and L. I. Ronkin). Russian version is free at http://www.mathnet.ru/

33.  On complemented subspaces of sums and products of Banach spaces, Proc. Amer. Math. Soc., 124 (1996), no. 7, 2005--2012, MR96i:46002. Can be downloaded from http://front.math.ucdavis.edu/ The paper is available free of charge from the publisher.

I would like to mention that my paper 33 relies heavily on a very interesting, but unfortunately unpublished paper of Charles J. Read (1958-2015). During our last meeting Charles told me that he is going to post this paper on his web page. Unfortunately this never happened. Since I believe that this paper is very important I decided to post it on my web page: C.J. Read, Different forms of the approximation property, Unpublished manuscript, approximate date: 1989.

 

32.  A note on continuous restrictions of linear maps between Banach spaces, Acta Math. Univ. Comenianae, 61 (1992), no. 2, 185-188; MR94f:46013. The paper is available free of charge from the publisher.

31.  A  note  on  analytical  representability  of mappings inverse to integral operators (Russian), Matematicheskaya Fizika, Analiz i Geometriya, 1 (1994), no. 3/4, 513-519, MR98k:47064. An English translation can be downloaded from http://front.math.ucdavis.edu/

30.  Total subspaces  with  long  chains  of  nowhere norming weak  sequential closures, Note Mat., 13 (1993), no. 2, 217-227, MR96c:46013. Can be downloaded from http://front.math.ucdavis.edu/ The paper is available free of charge from the publisher.

29. Characterizations of  Banach  spaces  which  are completions with respect to total nonnorming subspaces, Archiv der Math.,  60 (1993), 349-358; MR94c:46042.

28.  On the classification of total subspaces of dual Banach spaces, C. r. Acad. bulg. Sc., 45 (1992), no. 7, 9-10; MR94g:46023.

27.  The structure of total  subspaces of dual Banach spaces (Russian), Teor. Funktsii, Funktsional. Anal. i  Prilozhen. 58 (1992), 60-69, English transl.: J. Math. Sci., 85  (1997), no. 5, 2188-2193, MR95a:46017. An English version can be downloaded from http://front.math.ucdavis.edu/ An English translation of the paper is available for subscribers from Springer.

26. Total subspaces in dual Banach spaces which  are not norming over any infinite-dimensional subspace, Studia Math. 105 (1993), no. 1, 37-49; MR94h: 46019. Can be downloaded from http://front.math.ucdavis.edu/ Available from Polish Virtual Library of Science free of charge.

25.  Subspaces containing biorthogonal functionals of bases of different types (Russian), Teor. Funktsii,  Funktsional.  Anal. i Prilozhen. 57 (1992), 115-127; English transl.: J. Math. Sci., 77 (1995), no. 1, 3008-3016, MR94m:46016. An English version can be downloaded from http://front.math.ucdavis.edu/ An English translation of the paper is available for subscribers from Springer.

24. Regularizability of inverse linear operators in Banach spaces with  bases (Russian), Sibirsk. Mat. Zh33 (1992), no 3, 123-130; English transl.: Siberian Math. J. 33 (1992) no. 3, 470-476, MR93i:47004. An English translation of the paper is available for subscribers from Springer.

23.  On  the  support  of the Riesz charge of a δ-subharmonic  function (Russian), in: ``Operator  theory, subharmonic  functions'' (ed.  by  V. A. Marchenko),  KievNaukova Dumka, 1991, pp. 50-54, MR93j:31002, (with A. E. Eremenko and M. L. Sodin).

22. On the problem of regularizability of the superpositions of inverse linear operators (Russian), Teor. Funktsii, Funktsion. Anal. i Prilozhen. 55 (1991),  96-100; English transl.: J. Soviet Math. 59 (1992), no. 1, 652-655, MR93e:47004 and MR94c:47005. An English translation of the paper is available for subscribers from Springer.

21. On one-side invertible operators (Russian), in: "Analytical methods in probability and operator theory" (ed. by V. A. Marchenko), Kiev, Naukova dumka, 1990, p. 95-105, MR 96h:46020.

20. Operators with dense range and extensions of minimal systems (Russian), Izvestiya vuzov, Matem., 1990, no. 6, 45-47; Engl. transl.: Soviet. Math. (Iz. VUZ) 34 (1990), no. 6, 53-56; MR91k:46014, (with V. P. Fonf). Russian version is free at http://www.mathnet.ru/

19. Basic and quasibasic subspaces of dual Banach spaces (Russian), Mat. Zametki 47 (1990), no. 6,  85-90;  Engl. transl.: Math. Notes 47 (1990), no. 5-6, 584-588; MR91k:46013. An English translation of the paper is available for subscribers from Springer. Russian version is free at http://www.mathnet.ru/

18. On total non-norming subspaces of a dual Banach space (Russian), Teor. Funktsii, Funktsion. Anal.  i  Prilozhen. 53  (1990),  119-123;  Engl.  transl.:  J. Soviet  Math. 58 (1992), no. 6, 577-579; MR91k:46011. An English translation of the paper is available for subscribers from Springer.

17. Comparison of topologies generated by  geometric and operator gaps between subspaces (Russian), Ukr. Mat.  Zh. 41 (1989), no. 7, 929-933; Engl. transl.: Ukr. Math. J. 41  (1989), no. 7, 794-797; MR90k:46038. An English translation of the paper is available for subscribers from Springer.

16. Total property of bounded approximation (Russian), Sibirsk. Mat. Zh. 30 (1989), no.  3,  180-181;  Engl. transl.: Siberian Math. J. 30 (1989), no. 3, 488-489; MR90h:46031. An English translation of the paper is available for subscribers from Springer.

15. Pairs of regularizable inverse linear operators with nonregularizable superpositions (Russian),  Teor. Funktsii, Funktsion. Anal. i Prilozhen. 52 (1989), 78-88; Engl. transl.: J. Soviet Math. 52 (1990), no. 5, 3403-3410; MR90k:46037. An English translation of the paper is available for subscribers from Springer.

14. Regularizability of operators, inverse to linear injections and to superposition of them (Russian),  Sibirsk. Mat. Zh. 29 (1988), no. 3, 190-193; Engl. transl.: Siberian Math. J. 29 (1988), no. 3, 488-491; MR90d:47004, (with E. N. Domanskii). An English translation of the paper is available for subscribers from Springer.

13.  The Banach-Saks and Mazur properties in Banach spaces (Russian), Mat. Zametki 42 (1987), no. 6, 786-789; Engl. transl.: Math. Notes 42 (1987), no. 5-6, 931-933; MR89c:46024. An English translation of the paper is available for subscribers from Springer. Russian version is free at http://www.mathnet.ru/

12. Banach-Saks properties and the three space problem (Russian), in: "Operators in function spaces and problems in  function  theory'' (ed.by V. A. Marchenko), Kiev, Naukova Dumka, 1987, p. 96-105; MR89e:46009, (with A.Plichko).

11. w*-derivatives of transfinite order of the subspaces of a conjugate Banach space (Russian,  Ukrainian, English summary), Dokl. Akad. Nauk Ukrain. SSR. Ser. A, 1987, no. 10, 9-12; MR89b:46016. An English version can be downloaded from http://front.math.ucdavis.edu/

10.  A comparison between the weak and the continuous Banach-Saks properties (Russian), Teor. Funktsii,  Funktsion. Anal. i Prilozhen. 48 (1987), 130-134; Engl. transl.: J. Soviet Math. 49 (1990), no. 2, 938-940; MR89b:46025. An English translation of the paper is available for subscribers from Springer.

9.  Properties of Banach spaces stable and unstable with respect to the gap (Russian), Sibirsk. Mat. Zh. 28  (1987), no. 1, 182-184; Engl. transl.: Siberian Math. J., 28  (1987), no. 1, 140-142; MR88d:46031. An English translation of the paper is available for subscribers from Springer.

 

8.  Separably injective Banach spaces (Russian), Funktsional. Anal. i Prilozhen. 20 (1986), no.  2,  80-81;  Engl. transl.: Functional  Anal.  Appl. 20 (1986), no.  2,  154-155; MR88h:46026. An English translation of the paper is available for subscribers from Springer. Russian version is free at http://www.mathnet.ru/

 

7.  Set of sums of conditionally convergent series in Banach spaces (Russian),   TeorFunktsii,  Funktsion.  Anal. i Prilozhen. 46 (1986), 77-85; Engl. transl.: J. Soviet Math. 48 (1990), no. 5, 559-566; MR88i:46024. An English translation of the paper is available for subscribers from Springer.

 

6. Diminishing of the spectrum of an operator under extension (Russian), Teor. Funktsii, Funktsion.   Anal. i Prilozhen. 45 (1986), 96-97; Engl. transl.: J.  Soviet  Math, 48 (1990), no 4, 450-451; MR88f:47004. An English translation of the paper is available for subscribers from Springer.

 

5.  The three space problem for the weak Banach-Saks property (Russian), Mat. Zametki 38 (1985), no. 5, 721-725; Engl. transl.: Math. Notes 38 (1985), no. 5-6, 905-907; MR87e:46028. An English translation of the paper is available for subscribers from Springer. Russian version is free at http://www.mathnet.ru/

4. Banach-Saks properties in spaces with a symmetric basis (Russian, Ukrainian, English summary), Dokl. Akad. Nauk Ukrain. SSR, Ser. A, 1985, no. 8, 12-14; MR87c:46017.

3.  Banach-Saks properties, injectivity and gaps between subspaces of a Banach space (Russian), Teor. Funktsii, Funktsion. Anal. i Prilozhen. 44  (1985), 69-78; Engl. transl.: J. Soviet Math. 48 (1990), no. 3, 299-306; MR86k:46024. An English translation of the paper is available for subscribers from Springer.

2.  The relation of the gaps of subspaces to dimension and other isomorphic invariants (Russian, Armenian summary), Akad. Nauk Armyan. SSR Dokl. 79 (1984), no. 2, 51-53; MR86k:46023.

1.  On the properties of  the opening and related closeness characterizations of Banach spaces (Russian), Teor. Funktsii, Funktsion. Anal. i Prilozhen. 42  (1984),  97-107; Engl. transl.: Amer. Math.  Soc.  Transl.  (2), vol. 136 (1987), 109-119; MR86a:46019.