The heredity problem for weakly compactly generated Banach spaces

Haskell P. Rosenthal

Compositio Mathematica (1974)

  • Volume: 28, Issue: 1, page 83-111
  • ISSN: 0010-437X

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Rosenthal, Haskell P.. "The heredity problem for weakly compactly generated Banach spaces." Compositio Mathematica 28.1 (1974): 83-111. <http://eudml.org/doc/89201>.

@article{Rosenthal1974,
author = {Rosenthal, Haskell P.},
journal = {Compositio Mathematica},
language = {eng},
number = {1},
pages = {83-111},
publisher = {Noordhoff International Publishing},
title = {The heredity problem for weakly compactly generated Banach spaces},
url = {http://eudml.org/doc/89201},
volume = {28},
year = {1974},
}

TY - JOUR
AU - Rosenthal, Haskell P.
TI - The heredity problem for weakly compactly generated Banach spaces
JO - Compositio Mathematica
PY - 1974
PB - Noordhoff International Publishing
VL - 28
IS - 1
SP - 83
EP - 111
LA - eng
UR - http://eudml.org/doc/89201
ER -

References

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  6. [6] D. Friedland: On closed subspaces of weakly compactly generated Banach spaces. Submitted to Israel J. Math. 
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  8. [8] K. John and V. Zizler: Projections in dual weakly compactly generated Banach spaces (to appear) Studia Math. Zbl0247.46029MR336295
  9. [9] —: Smoothness and its equivalents in weakly compactly generated Banach spaces (to appear)J. Funct. Anal. Zbl0272.46012
  10. [10] M.I. Kadec and A. Pelczynski: Bases, lacunary sequences, and complemented subspaces in the spaces Lp. Studia Math.21 (1962) 161-176. Zbl0102.32202
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  12. [12] —: Weakly compact sets - their topological properties and the Banach spaces they generate. Annals of Mathematics Studies69, Princeton Univ. Press (1972) 235-273. Zbl0232.46019
  13. [13] W. Johnson and J. Lindenstrauss: Some remarks on weakly compactly generated Banach spaces (to appear)Israel J. Math. Zbl0306.46021MR417760
  14. [14] H.P. Rosenthal: On injective Banach spaces and the spaces L∞(μ) for finite measures μ. Acta. Math.124 (1970) 205-248. Zbl0207.42803
  15. [15] —: On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from Lp(μ) to Lr(μ). J. Funct. Anal.2 (1969) 176-214. Zbl0185.20303
  16. [16] —: On relatively disjoint families of measures, with some applications to Banach space theory. Studia Math.37 (1970) 13-36. Zbl0227.46027
  17. [17] —: On the subspaces of Lp(p &gt; 2) spanned by independent random variables. Israel J. Math.8 (1970) 273-303. Zbl0213.19303
  18. [18] —: On the span in Lp of sequences of independent random variables (II). Berkeley Symposium on Mathematics, Statistics, and Probability, Vol. II (1972) 149-167. Zbl0255.60003
  19. [19] W. Sierpinski: Cardinal and Ordinal Numbers. Warsaw, Monografje Matematijczne, 1958. Zbl0083.26803MR95787
  20. [20] S.L. Troyanski: Equivalent norms and minimal systems in non-separable Banach spaces. Studia Math.43 (1972) 125-138. Zbl0255.46012MR324382

Citations in EuDML Documents

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  1. Boris A. Efimov, G. I. Chertanov, О подпространствах Σ -приизведения отрезков
  2. M. Talagrand, Espaces de Banach faiblement k -analytiques
  3. W. Schachermayer, Eberlein-compacts et espaces de Radon
  4. István Juhász, Zoltán Szentmiklóssy, Andrzej Szymański, Eberlein spaces of finite metrizability number
  5. Sophocles Mercourakis, E. Stamati, A new class of weakly K -analytic Banach spaces
  6. Genadij A. Sokolov, On some classes of compact spaces lying in Σ -products
  7. David Preiss, Petr Simon, A weakly pseudocompact subspace of Banach space is weakly compact
  8. Petr Simon, On continuous images of Eberlein compacts
  9. Aleksander V. Arhangel'skii, On bicompacta which are unions of two subspaces of a certain type
  10. Jiří Reif, Some remarks on subspaces of weakly compactly generated Banach spaces

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