Weakly uniformly rotund Banach spaces

Aníbal Moltó; Vicente Montesinos; José Orihuela; Stanimir L. Troyanski

Commentationes Mathematicae Universitatis Carolinae (1998)

  • Volume: 39, Issue: 4, page 749-753
  • ISSN: 0010-2628

Abstract

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The dual space of a WUR Banach space is weakly K-analytic.

How to cite

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Moltó, Aníbal, et al. "Weakly uniformly rotund Banach spaces." Commentationes Mathematicae Universitatis Carolinae 39.4 (1998): 749-753. <http://eudml.org/doc/248230>.

@article{Moltó1998,
abstract = {The dual space of a WUR Banach space is weakly K-analytic.},
author = {Moltó, Aníbal, Montesinos, Vicente, Orihuela, José, Troyanski, Stanimir L.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Banach spaces; weak uniform rotundity; K-analiticity; uniform Gâteaux differentiability; Banach spaces; weak uniform rotundity; K-analyticity; uniform Gâteaux differentiability},
language = {eng},
number = {4},
pages = {749-753},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Weakly uniformly rotund Banach spaces},
url = {http://eudml.org/doc/248230},
volume = {39},
year = {1998},
}

TY - JOUR
AU - Moltó, Aníbal
AU - Montesinos, Vicente
AU - Orihuela, José
AU - Troyanski, Stanimir L.
TI - Weakly uniformly rotund Banach spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1998
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 39
IS - 4
SP - 749
EP - 753
AB - The dual space of a WUR Banach space is weakly K-analytic.
LA - eng
KW - Banach spaces; weak uniform rotundity; K-analiticity; uniform Gâteaux differentiability; Banach spaces; weak uniform rotundity; K-analyticity; uniform Gâteaux differentiability
UR - http://eudml.org/doc/248230
ER -

References

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  6. Fabian M., Troyanski S., A Banach space admits a locally uniformly rotund norm if its dual is a Vasšák space, Israel J. Math. 69 (1990), 214-224. (1990) MR1045374
  7. Godefroy G., Troyanski S., Whitfield J.H.M., Zizler V., Smoothness in weakly compactly generated Banach spaces, J. Functional Anal. 52 (1983), 344-352. (1983) Zbl0517.46010MR0712585
  8. Hájek P., Dual renormings of Banach spaces, Comment. Math. Univ. Carolinae 37 (1996), 241-253. (1996) MR1398999
  9. Talagrand M., Espaces de Banach faiblement K-analytiques, Annals of Math. 110 (1979), 407-438. (1979) MR0554378

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