A weakly pseudocompact subspace of Banach space is weakly compact
Preiss, David ; Simon, Petr
Commentationes Mathematicae Universitatis Carolinae, Tome 015 (1974), p. 603-609 / Harvested from Czech Digital Mathematics Library
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Publié le : 1974-01-01
Classification:  46B05,  46B99,  54D30,  54D35,  54D55 
@article{105584,
     author = {David Preiss and Petr Simon},
     title = {A weakly pseudocompact subspace of Banach space is weakly compact},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {015},
     year = {1974},
     pages = {603-609},
     zbl = {0306.54033},
     mrnumber = {0374875},
     language = {en},
     url = {http://dml.mathdoc.fr/item/105584}
}

Preiss, David; Simon, Petr. A weakly pseudocompact subspace of Banach space is weakly compact. Commentationes Mathematicae Universitatis Carolinae, Tome 015 (1974) pp. 603-609. http://gdmltest.u-ga.fr/item/105584/

D. Amir J. Lindenstrauss The structure of weakly compact sets in Banach spaces, Ann. of Math. 88 (1968), 35-46. (1968) | MR 0228983

M. M. Day Normed linear spaces, Зrd. ed., Springer - Verlag, Berlin 1973. (1973) | MR 0344849 | Zbl 0268.46013

L. Gillman M. Jerison Rings of continuous functions, D. Van Nostrand, New York 1960. (1960) | MR 0116199

R. C. James A counterexample for a sup theoгem in normed spaces, Israel J. of Math. 9, 4 (1971), 511-512. (1971) | MR 0279565

J. Lindenstrauss Weakly compact sets - their topological properties and the Banach spaces they generate, Ann. of Math. Studies 6. 9 (1972), 235-273. (1972) | MR 0417761 | Zbl 0232.46019

V. Pták On a theorem of W. F. Eberlein, Studia Math. 14 (1954), 276-284. (1954) | MR 0066551

H. P. Rosenthal The heredity pгoblem for weakly compactly generated Banach spaces, Comp. Math. 28 (1974), 83-111. (1974) | MR 0417762