Factorization theorems for quasi-normed spaces

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We extend Pisier's abstract version of Grothendieck's theorem to general non-locally convex quasi-Banach spaces. We also prove a related result on factoring operators through a Banach space and apply our results to the study of vector-valued inequalities for Sidon sets. We also develop the local theory of (non-locally convex) spaces with duals of weak cotype 2.

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Functional Analysis

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http://salesiana.dossiersoluciones.com/handle/123456789/152822

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9211207
 http://arxiv.org/abs/math/9211207

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arXiv