Multilinear extensions of Grothendieck’s theorem

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https//doi.org/10.1093/qmath/hah017

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2004

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Oxford University Press
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https://hdl.handle.net/20.500.14352/49445

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Bombal Gordon, F., Villanueva Díez, I. & Pérez García, D. «Multilinear Extensions of Grothendieck’s Theorem». The Quarterly Journal of Mathematics, vol. 55, n.o 4, diciembre de 2004, pp. 441-50. DOI.org (Crossref), https://doi.org/10.1093/qmath/hah017.

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.

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Análisis matemático

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1202 Análisis y Análisis Funcional

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