Szlenk and w*-dentability indices of the Banach spaces C([0, α])

被引：6

作者：

Brooker, Philip A. H. ^{[1
]}

机构：

[1] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 399卷 / 02期

关键词：

Szlenk index; Dentability index; WEAK-ASTERISK; QUOTIENTS;

D O I：

10.1016/j.jmaa.2012.10.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let a be an infinite ordinal and gamma the unique ordinal satisfying omega(omega gamma) <= alpha < omega(omega gamma+1). We show that the Banach space C([0, alpha]) of all continuous scalar-valued functions on the compact ordinal interval [0, alpha] has Szlenk index equal to omega(gamma+1) and w*-dentability index equal to omega(1+gamma+1). (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：559 / 564

页数：6

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