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Title: A weakly pseudocompact subspace of Banach space is weakly compact (English)
Author: Preiss, David
Author: Simon, Petr
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 15
Issue: 4
Year: 1974
Pages: 603-609
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Category: math
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MSC: 46B05
MSC: 46B99
MSC: 54D30
MSC: 54D35
MSC: 54D55
idZBL: Zbl 0306.54033
idMR: MR0374875
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Date available: 2008-06-05T20:46:05Z
Last updated: 2012-04-27
Stable URL: http://hdl.handle.net/10338.dmlcz/105584
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Reference: [AL] D. AMIR J. LINDENSTRAUSS: The structure of weakly compact sets in Banach spaces.Ann. of Math. 88 (1968), 35-46. MR 0228983
Reference: [D] M. M. DAY: Normed linear spaces.Зrd. ed., Springer - Verlag, Berlin 1973. Zbl 0268.46013, MR 0344849
Reference: [GJ] L. GILLMAN M. JERISON: Rings of continuous functions.D. Van Nostrand, New York 1960. MR 0116199
Reference: [J] R. C. JAMES: A counterexample for a sup theoгem in normed spaces.Israel J. of Math. 9, 4 (1971), 511-512. MR 0279565
Reference: [L] J. LINDENSTRAUSS: Weakly compact sets - their topological properties and the Banach spaces they generate.Ann. of Math. Studies 6. 9 (1972), 235-273. Zbl 0232.46019, MR 0417761
Reference: [P] V. PTÁK: On a theorem of W. F. Eberlein.Studia Math. 14 (1954), 276-284. MR 0066551
Reference: [R] H. P. ROSENTHAL: The heredity pгoblem for weakly compactly generated Banach spaces.Comp. Math. 28 (1974), 83-111. MR 0417762
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