List of publications
58. Sobolev spaces on graphs, preprint.
57. Linear fractional relations for Hilbert space
operators (with V. A. Khatskevich and V. S. Shulman), Mathematische
Nachrichten,
to appear.
56. Minimal congestion trees, Discrete
Math., 285 (2004) 219-226.
55. Finite dimensional characteristics
related
to superreflexivity of Banach spaces, Bulletin of the Australian
Mathematical
Society, 69 (2004) 289-295.
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.
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).53. Sufficient enlargements of minimal volume for two-dimensional normed spaces, Mathematical Proceedings of the Cambridge Philosophical Society, 137 (2004), 377-396.
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.
51. Minimal volume projections of cubes and totally unimodular matrices, Linear Algebra and its Applications, 364 (2003), 91-103.
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).
49. Paths between Banach spaces, Glasgow Math. J., 44 (2002), 261-273, Copyrighted by Glasgow Mathematical Journal Trust.
48. Hahn-Banach operators, Proc. Amer. Math. Soc., 129 (2001), 2923-2930. Can be downloaded from http://front.math.ucdavis.edu/
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 can be downloaded from http://www.idealibrary.com/
45. Hahn-Banach operators: a review, J. Comput. Anal. Appl., 5 (2003), no. 1, 11-24 (with B. L. Chalmers and B. Shekhtman).
44. A short proof of the result on actions that characterize $l_\infty^n$, Linear Algebra and its Applications, 294 (1999), 193--195, MR2000d:46016.
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.
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.
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.
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).
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/
32. A note on continuous restrictions of linear maps between Banach spaces, Acta Math. Univ. Comenianae, 61 (1992), no. 2, 185-188; MR94f:46013.
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/
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/
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/
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/
24. Regularizability of inverse linear operators in Banach spaces
with
bases (Russian),
Sibirsk. Mat. Zh. 33 (1992), no 3, 123-130; English
transl.:
Siberian Math. J. 33 (1992)
no. 3, 470-476, MR93i:47004.
23. On the support of the Riesz charge of a $\delta-$subharmonic function (Russian), in: ``Operator theory, subharmonic functions'' (ed. by V. A. Marchenko), Kiev, Naukova 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.
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).
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.
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.
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.
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.
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.
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).
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.
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.
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.
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.
7. Set of sums of conditionally convergent series in Banach spaces (Russian), Teor. Funktsii, Funktsion. Anal. i Prilozhen. 46 (1986), 77-85; Engl. transl.: J. Soviet Math. 48 (1990), no. 5, 559-566; MR88i:46024.
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.
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.
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.
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.