Schauder bases for symmetric tensor products

被引：11

作者：

Grecu, BC ^{[1
]}

Ryan, RA ^{[1
]}

机构：

[1] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2005年 / 41卷 / 02期

关键词：

Schauder basis; tensor product;

D O I：

10.2977/prims/1145475364

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a Banach space E with Schauder basis, we prove that the n fold symmetric tenser product (x) over cap (n)(mu,),E-s has a Schauder basis for all symmetric uniform crossnorms mu. This is done by modifying the square ordering on N-n and showing that the new ordering gives tensor product bases in both (x) over cap E-n(mu) and (x) over cap (n)(mu),E-s.

引用

页码：459 / 469

页数：11

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