Multilinear extensions of Grothendieck's theorem

被引：88

作者：

Bombal, F ^{[1
]}

Pérez-García, D ^{[1
]}

Villanueva, I ^{[1
]}

机构：

[1] Univ Complutense Madrid, Fac Matemat, Dept Anal Matemat, Madrid 28040, Spain

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2004年 / 55卷

关键词：

D O I：

10.1093/qmath/hah017

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce a new class of multilinear p-summing operators, which we call multiple p-summing. Using them, we can prove several multilinear generalizations of Grothendieck's 'fundamental theorem of the metric theory of tensor products'. As an application we prove a vector-valued Littlewood's inequality.

引用

页码：441 / 450

页数：10

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