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:
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Russian |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
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1572-9141 (online) |
Volume:
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34 |
Issue:
|
2 |
Year:
|
1984 |
Pages:
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252-256 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
MSC:
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46B20 |
idZBL:
|
Zbl 0572.46016 |
idMR:
|
MR743490 |
DOI:
|
10.21136/CMJ.1984.101948 |
. |
Date available:
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2008-06-09T14:59:42Z |
Last updated:
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2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101948 |
. |
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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