On Zippin's Embedding Theorem of Banach spaces into Banach spaces with bases

被引：11
作者：
Schlumprecht, Th. [1 ,2 ]
机构：
[1] Texas A&M Univ, Dept Math, College Stn, TX 77845 USA
[2] Czech Tech Univ, Fac Elect Engn, Prague 16627, Czech Republic
来源：
ADVANCES IN MATHEMATICS | 2015年 / 274卷
基金：
美国国家科学基金会;
关键词：
Embedding into Banach spaces with bases; Szlenk index; SZLENK INDEX; QUOTIENTS; SUBSPACES;
D O I：
10.1016/j.aim.2015.02.004
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a new proof of Zippin's Embedding Theorem, that every separable reflexive Banach space embeds into one with shrinking and boundedly complete basis, and every Banach space with a separable dual embeds into one with a shrinking basis. This new proof leads to improved versions of other embedding results. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：833 / 880
页数：48
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