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.
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页码：459 / 469
页数：11
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