A weakly pseudocompact subspace of Banach space is weakly compact
Commentationes Mathematicae Universitatis Carolinae (1974)
- Volume: 015, Issue: 4, page 603-609
- ISSN: 0010-2628
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topPreiss, David, and Simon, Petr. "A weakly pseudocompact subspace of Banach space is weakly compact." Commentationes Mathematicae Universitatis Carolinae 015.4 (1974): 603-609. <http://eudml.org/doc/16650>.
@article{Preiss1974,
author = {Preiss, David, Simon, Petr},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {603-609},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A weakly pseudocompact subspace of Banach space is weakly compact},
url = {http://eudml.org/doc/16650},
volume = {015},
year = {1974},
}
TY - JOUR
AU - Preiss, David
AU - Simon, Petr
TI - A weakly pseudocompact subspace of Banach space is weakly compact
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1974
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 015
IS - 4
SP - 603
EP - 609
LA - eng
UR - http://eudml.org/doc/16650
ER -
References
top- D. AMIR J. LINDENSTRAUSS, The structure of weakly compact sets in Banach spaces, Ann. of Math. 88 (1968), 35-46. (1968) MR0228983
- M. M. DAY, Normed linear spaces, Зrd. ed., Springer - Verlag, Berlin 1973. (1973) Zbl0268.46013MR0344849
- L. GILLMAN M. JERISON, Rings of continuous functions, D. Van Nostrand, New York 1960. (1960) MR0116199
- R. C. JAMES, A counterexample for a sup theoгem in normed spaces, Israel J. of Math. 9, 4 (1971), 511-512. (1971) MR0279565
- J. LINDENSTRAUSS, Weakly compact sets - their topological properties and the Banach spaces they generate, Ann. of Math. Studies 6. 9 (1972), 235-273. (1972) Zbl0232.46019MR0417761
- V. PTÁK, On a theorem of W. F. Eberlein, Studia Math. 14 (1954), 276-284. (1954) MR0066551
- H. P. ROSENTHAL, The heredity pгoblem for weakly compactly generated Banach spaces, Comp. Math. 28 (1974), 83-111. (1974) MR0417762
Citations in EuDML Documents
top- Petr Simon, On continuous images of Eberlein compacts
- Aleksander V. Arhangel'skii, On compact spaces which are unions of certain collections of subspaces of special type. II.
- Ofelia Alas, Vladimir Tkachuk, Richard Wilson, Maximal pseudocompact spaces and the Preiss-Simon property
- Jiří Reif, Some remarks on subspaces of weakly compactly generated Banach spaces
- Vladimir Vladimirovich Tkachuk, Some new versions of an old game
- Alexander V. Korovin, Continuous actions of pseudocompact groups and axioms of topological group
- L. V. Nakhmanson, N. N. Yakovlev, O бикoмпaктax, лeжaщиx в -пpoизвeдeнияx
- N. N. Yakovlev, On bicompacta in -products and related spaces
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