The separable quotient problem and the strongly normal sequences

Wieslaw Sliwa

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The separable quotient problem and the strongly normal sequences

机译：可分商问题和强正态序列

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摘要

We study the notion of a strongly normal sequence in the dual E~* of a Banach space E. In particular, we prove that the following three conditions are equivalent: (1) E~* has a strongly normal sequence, (2) (E~*,σ(E~*,E)) has a Schauder basic sequence, (3) E has an infinite-dimensional separable quotient.

机译：我们研究了Banach空间E的对偶E〜*中的一个强正态序列的概念。特别是，我们证明了以下三个条件是等价的：（1）E〜*具有一个强正态序列，（2）（ E〜*，σ（E〜*，E））具有Schauder基本序列，（3）E具有无限维可分离商。

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来源
《Journal of the Mathematical Society of Japan》 |2012年第2期|p.387-397|共11页
作者
Wieslaw Sliwa;
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作者单位

Faculty of Mathematics and Computer Science A. Mickiewicz University ul. Umultowska 87 61-614 Poznari, Poland;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
banach space; separable quotient problem; normal sequence; josefson-nissenzweig theorem;

机译：宴会厅可商数问题正常顺序约瑟夫森-尼森维格定理;

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The separable quotient problem and the strongly normal sequences

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