Weakly compact multilinear mappings

被引：22
|
作者：
Aron, RM [1 ]
Galindo, P [1 ]
机构：
[1] UNIV VALENCIA,DEPT ANAL MATEMAT,BURJASSOT 46100,VALENCIA,SPAIN
来源：
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 1997年 / 40卷
关键词：
D O I：
10.1017/S0013091500023543
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of Arens regularity of a bilinear form on a Banach space E is extended to continuous m-linear forms, in such a way that the natural associated linear mappings, E --> L(Em-1) and (m - 1)-linear mappings E x ... x E --> E', are all weakly compact. Among other applications, polynomials whose first derivative is weakly compact are characterized.
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页码：181 / 192
页数：12
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