Title : ( A note on nonfragmentability of Banach spaces )
Authors: Seyyed Alireza Kamel Mirmostafaee ,
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Abstract
In this paper the author uses the game characterization of fragmentability and sigmafragmentability developed by P. S. Kenderov and W. B. Moors [J. London Math. Soc. (2) 60 (1999), no. 1, 203–223; MR1721825 (2001f:46025)] to show that if a compact space X with the tree-completeness property contains a disjoint sequence of non-empty clopen sets, then (C(X), weak) is not sigma-fragmented by the norm. In particular, this means that C(X) does not admit any equivalent Kadets renorming [see J. E. Jayne, I. Namioka and C. A. Rogers, Mathematika 39 (1992), no. 1, 161–188; MR1176478 (93i:46027)]. This paper is interesting and well written.
Keywords
A note on nonfragmentability of Banach spaces
@article{paperid:1024129,
author = {Kamel Mirmostafaee, Seyyed Alireza},
title = {A note on nonfragmentability of Banach spaces},
journal = {International Journal of Mathematics and Mathematical Sciences},
year = {2001},
volume = {4},
number = {2},
month = {April},
issn = {0161-1712},
pages = {39--44},
numpages = {5},
keywords = {A note on nonfragmentability of Banach spaces},
}
%0 Journal Article
%T A note on nonfragmentability of Banach spaces
%A Kamel Mirmostafaee, Seyyed Alireza
%J International Journal of Mathematics and Mathematical Sciences
%@ 0161-1712
%D 2001
