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

页码：239 / 243

页数：5

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