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Title: О связи между слабой и сильной сходимостью в пространстве Банаха, содержащем $\ell_1$ (Russian)
Title: On the connection between weak and strong convergence in a Banach space containing $\ell_1$ (English)
Author: Godun, B. V.
Language: Russian
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 34
Issue: 2
Year: 1984
Pages: 252-256
Summary lang: English
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Category: math
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MSC: 46B20
idZBL: Zbl 0572.46016
idMR: MR743490
DOI: 10.21136/CMJ.1984.101948
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Date available: 2008-06-09T14:59:42Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101948
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Reference: [1] Н. Р. Rosenthal: Some recent discoveries in the isomorphic theory of Banach spaces.Bull. Amer. Math. Soc, 84 (1978), 803-831. Zbl 0391.46016, MR 0499730, 10.1090/S0002-9904-1978-14521-2
Reference: [2] M. И. Кадец: О связи между слабой и сильной сходимостью.ДАН СССР, 9 (1957), 949-952. Zbl 0995.90594
Reference: [3] Ю. И. Петунии А. Н. Пличко: Теория характеристик подпространств и ее проложения.Киев, ВIII, 1980. Zbl 1229.60003
Reference: [4] W. J. Davis J. Lindenstrauss: On total non-norming subspaces.Proc. Amer. Math. Soc, 31 (1972), 109-111. MR 0288560, 10.1090/S0002-9939-1972-0288560-8
Reference: [5] B. Д. Милъман: Геометрическая теория пространств Банаха.Часть И, УМЫ, 26, (1971), 79-149. Zbl 1170.92344
Reference: [6] D. van Dulst: On certain subspace of characterictic zero of $l_1$.Compos. Math., 28, (1974), 195-201. MR 0342986
Reference: [7] E. Оdell H. P. Rosenthal: A double dual characterization of separable Banach spaces containing $l_1$.Israel J. Math., 20 (1975), 375-384. MR 0377482, 10.1007/BF02760341
Reference: [8] С Bessaga A. Pelczynski: Selected topics in infinite-dimensional topology.Warszawa, PWN, 1975.
Reference: [9] W. J. Davis W. B. Johnson: Basic sequences and norming subspaces in non-quasi-reflexive Banach spaces.Israel J. Math., 14 (1973), 353-357. MR 0322481, 10.1007/BF02764714
Reference: [10] W. J. Davis W. B. Johnson: A renorming of non-reflexive Banach spaces.Proc. Amer. Math. Soc, 37 (1973), 486-488. MR 0310595, 10.1090/S0002-9939-1973-0310595-8
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