A weakly pseudocompact subspace of Banach space is weakly compact

David Preiss; Petr Simon

Commentationes Mathematicae Universitatis Carolinae (1974)

  • Volume: 015, Issue: 4, page 603-609
  • ISSN: 0010-2628

How to cite

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Preiss, 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

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  1. D. AMIR J. LINDENSTRAUSS, The structure of weakly compact sets in Banach spaces, Ann. of Math. 88 (1968), 35-46. (1968) MR0228983
  2. M. M. DAY, Normed linear spaces, Зrd. ed., Springer - Verlag, Berlin 1973. (1973) Zbl0268.46013MR0344849
  3. L. GILLMAN M. JERISON, Rings of continuous functions, D. Van Nostrand, New York 1960. (1960) MR0116199
  4. R. C. JAMES, A counterexample for a sup theoгem in normed spaces, Israel J. of Math. 9, 4 (1971), 511-512. (1971) MR0279565
  5. 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
  6. V. PTÁK, On a theorem of W. F. Eberlein, Studia Math. 14 (1954), 276-284. (1954) MR0066551
  7. H. P. ROSENTHAL, The heredity pгoblem for weakly compactly generated Banach spaces, Comp. Math. 28 (1974), 83-111. (1974) MR0417762

Citations in EuDML Documents

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  1. Petr Simon, On continuous images of Eberlein compacts
  2. Aleksander V. Arhangel'skii, On compact spaces which are unions of certain collections of subspaces of special type. II.
  3. Ofelia Alas, Vladimir Tkachuk, Richard Wilson, Maximal pseudocompact spaces and the Preiss-Simon property
  4. Alexander V. Korovin, Continuous actions of pseudocompact groups and axioms of topological group
  5. Vladimir Vladimirovich Tkachuk, Some new versions of an old game
  6. Jiří Reif, Some remarks on subspaces of weakly compactly generated Banach spaces
  7. N. N. Yakovlev, On bicompacta in Σ -products and related spaces
  8. L. V. Nakhmanson, N. N. Yakovlev, O бикoмпaктax, лeжaщиx в σ -пpoизвeдeнияx

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