Villanueva Díez, 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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Official URL: http://qjmath.oxfordjournals.org/archive/
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 12:05 |
| Last Modified: | 06 Mar 2013 16:29 |
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