A multilinear Lindenstrauss theorem

被引：23

作者：

Acosta, MD

García, D

Maestre, M

机构：

[1] Univ Valencia, Dept Anal Matemat, E-46100 Valencia, Spain

[2] Univ Granada, Dept Anal Matemat, E-18071 Granada, Spain

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 235卷 / 01期

关键词：

multilinear mappings; polynomials; Banach spaces;

D O I：

10.1016/j.jfa.2005.10.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the set of N-linear mappings on a product of N Banach spaces such that all their Arens extensions attain their norms (at the same element) is norm dense in the space of all bounded N-linear mappings. (C) 2005 Elsevier Inc. All rights reserved.

引用

收藏

页码：122 / 136

页数：15

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