Concerning weak * -extreme points

Eva Matoušková

Commentationes Mathematicae Universitatis Carolinae (1995)

  • Volume: 36, Issue: 2, page 245-248
  • ISSN: 0010-2628

Abstract

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Every separable nonreflexive Banach space admits an equivalent norm such that the set of the weak * -extreme points of the unit ball is discrete.

How to cite

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Matoušková, Eva. "Concerning weak$^*$-extreme points." Commentationes Mathematicae Universitatis Carolinae 36.2 (1995): 245-248. <http://eudml.org/doc/247772>.

@article{Matoušková1995,
abstract = {Every separable nonreflexive Banach space admits an equivalent norm such that the set of the weak$^*$-extreme points of the unit ball is discrete.},
author = {Matoušková, Eva},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weak$^*$-extreme points; equivalent norm; nonreflexive Banach spaces; nonreflexive Banach spaces; separable nonreflexive Banach space; equivalent norm; -extreme points of the unit ball},
language = {eng},
number = {2},
pages = {245-248},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Concerning weak$^*$-extreme points},
url = {http://eudml.org/doc/247772},
volume = {36},
year = {1995},
}

TY - JOUR
AU - Matoušková, Eva
TI - Concerning weak$^*$-extreme points
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1995
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 36
IS - 2
SP - 245
EP - 248
AB - Every separable nonreflexive Banach space admits an equivalent norm such that the set of the weak$^*$-extreme points of the unit ball is discrete.
LA - eng
KW - weak$^*$-extreme points; equivalent norm; nonreflexive Banach spaces; nonreflexive Banach spaces; separable nonreflexive Banach space; equivalent norm; -extreme points of the unit ball
UR - http://eudml.org/doc/247772
ER -

References

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  1. Godun B.V., Preserved extreme points, Funct. Anal. i Prilož. 19 (1985), 76-77. (1985) Zbl0591.46004MR0800926
  2. Godun B.V., Bor-Luh Lin, Troyanski S.L., On the strongly extreme points of convex bodies in separable Banach spaces, Proc. AMS 114 (1992), 673-675. (1992) MR1070518
  3. James R.C., Characterizations of reflexivity, Studia Math. 23 (1964), 205-216. (1964) Zbl0113.09303MR0170192
  4. Lindenstrauss J., Phelps R.R., Extreme point properties of convex bodies in reflexive Banach spaces, Israel J. Math. 6 (1968), 39-48. (1968) Zbl0157.43802MR0234260
  5. Phelps R.R., Dentability and extreme points in Banach spaces, Journal of Functional Analysis 17 (1974), 78-90. (1974) Zbl0287.46026MR0352941
  6. Rosenthal H.P., On norm-attaining functionals and the equivalence of the weak * -KMP with the RNP, Longhorn Notes, The University of Texas at Austin, 1985/86, pp. 1-12. MR1017038
  7. Stegall C., Vorlesungen aus dem Fachbereich Mathematik der Universität Essen, Heft 10, 1983, pp. 1-61. 

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