Factorization theorems for quasi-normed spaces
Functional Analysis
2008-02-03 v1
Abstract
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.
Cite
@article{arxiv.math/9211207,
title = {Factorization theorems for quasi-normed spaces},
author = {Nigel J. Kalton and Sik-Chung Tam},
journal= {arXiv preprint arXiv:math/9211207},
year = {2008}
}