a note on nonfragmentability of banach spaces
Clicks: 10
ID: 207588
2001
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Abstract
We use Kenderov-Moors characterization of fragmentability to
show that if a compact Hausdorff space X with the
tree-completeness property contains a disjoint sequences of clopen
sets, then (C(X), weak) is not fragmented by any
metric which is stronger than weak topology. In particular,
C(X) does not admit any equivalent locally uniformly
convex renorming.
| Reference Key |
mirmostafaee2001internationala
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|---|---|
| Authors | ;S. Alireza Kamel Mirmostafaee |
| Journal | structural engineering and mechanics |
| Year | 2001 |
| DOI |
10.1155/S0161171201005075
|
| URL | |
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