Factorization theorems for quasi-normed spaces

Details Factorization theorems for quasi-normed spaces Factorization theorems for quasi-normed spaces

1992-11-02

arxiv.org/abs/math/9211207v1

Mathematics

Functional Analysis

Scientific paper

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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