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Multilinear extensions of Grothendieck’s theorem

Villanueva, Ignacio and Bombal Gordón, Fernando and Pérez García, David (2004) Multilinear extensions of Grothendieck’s theorem. Quarterly Journal of Mathematics, 55 (4). pp. 441-450. ISSN 1464-3847

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Abstract

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”. Several applications and improvements of previous results are given.


Item Type:Article
Uncontrolled Keywords:Multiple absolutely summing multilinear mappings; Grothendieck’s theorem
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:11656
Deposited On:01 Dec 2010 11:05
Last Modified:06 Feb 2014 09:08

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