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.

引用

页码：181 / 192

页数：12

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