Some remarks on non-separable Banach spaces with Markuševič basis

Kamil John; Václav Zizler

Commentationes Mathematicae Universitatis Carolinae (1974)

  • Volume: 015, Issue: 4, page 679-691
  • ISSN: 0010-2628

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John, Kamil, and Zizler, Václav. "Some remarks on non-separable Banach spaces with Markuševič basis." Commentationes Mathematicae Universitatis Carolinae 015.4 (1974): 679-691. <http://eudml.org/doc/16657>.

@article{John1974,
author = {John, Kamil, Zizler, Václav},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {679-691},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some remarks on non-separable Banach spaces with Markuševič basis},
url = {http://eudml.org/doc/16657},
volume = {015},
year = {1974},
}

TY - JOUR
AU - John, Kamil
AU - Zizler, Václav
TI - Some remarks on non-separable Banach spaces with Markuševič basis
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1974
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 015
IS - 4
SP - 679
EP - 691
LA - eng
UR - http://eudml.org/doc/16657
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. C. BESSAGA, Topological equivalence of non-separable reflexive Banach spaces. Ordinal resolutions of identity and monotone bases, Symposium on Infinite dim. Topology, Annals of Math. Studies 69. 
  3. H. H. CORSON, The weak topology of a Banach space, Trans. Amer. Math. Soc. 101 (1961), 1-15. (1961) Zbl0104.08502MR0132375
  4. H. H. CORSON J. LINDENSTRAUSS, On function spaces which are Lindelöf spaces, Trans. Amer. Math. Soc. 121 (1966), 476-491. (1966) MR0187213
  5. J. A. DYER, Generalized Markuševič bases, Israel J. Math. 7 (1969), 51-59. (1969) MR0259564
  6. K. JOHN V. ZIZLER, Projections in dual weakly compactly generated Banach spaces, Studia Math. 49 (1973), 41-50. (1973) MR0336295
  7. K. JOHN V. ZIZLER, Smoothness and its equivalents in the class of weakly compactly generated Banach spaces, J. Functional Analysis 15 (1974), 1-11 (1974) MR0417759
  8. K. JOHN V. ZIZLER, Weak compact generating in duality, Studia Math., to appear. MR0405071
  9. W. B. JOHNSON, Markuševič bases and duality theory, Trans. Amer. Math. Soc. 149 (1970), 171-177. (1970) MR0261312
  10. J. LINDENSTRAUSS, Weakly compact sets - their topological properties and the Banach spaces they generate, Symposium on Infinite Dim. Topology, Annals of Math. Studies 69. Zbl0232.46019
  11. J. REIF, Subspaces of Banach spaces with projectional basis, Bull. Acad. Pol., to appear. 
  12. H. P. ROSENTHAL, The heredity prohlem for weakly compactly generated spaces, Compositio Math. 28 (1974), 83-111. (1974) MR0417762
  13. S. TROJANSKI, On locally uniformly convex and differentiable norms in certain nonseparable Banach spaces, Studia Math. 37 (1971), 173-180. (1971) MR0306873
  14. S. TROJANSKI, On equivalent norms and minimal systems in nonseparable Banach spaces, Studia Math. 43 (1972), 125-138. (1972) MR0324382

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