Weak* dentability index of spaces C([0, α])

被引：5
|
作者：
Hajek, Petr [2 ]
Lancien, Gilles [3 ]
Prochazka, Antonin [1 ,4 ]
机构：
[1] Charles Univ Prague, Dept Math Anal, Prague 18675 8, Czech Republic
[2] Acad Sci Czech Republic, Inst Math, CR-11567 Prague 1, Czech Republic
[3] Univ Franche Comte, F-25030 Besancon, France
[4] Univ Bordeaux 1, F-33405 Talence, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 353卷 / 01期
关键词：
Szlenk index; Dentability index; BANACH-SPACES; SZLENK INDEX;
D O I：
10.1016/j.jmaa.2008.11.075
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We compute the weak*-dentability index of the spaces C(K) where K is a countable compact space. Namely Dz(C([0,omega(omega alpha)]))=omega(1+alpha+1), whenever 0 <=alpha<omega(1). More generally, Dz(C(K))=omega(1+alpha+1) if K is a scattered compact whose height eta(K) satisfies omega(alpha)<eta(K)<=omega(alpha+1) with an alpha countable. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：239 / 243
页数：5
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