Quotients of finite-dimensional quasi-normed spaces
Functional Analysis
2007-05-23 v1
Abstract
We study the existence of cubic quotients of finite-dimensional quasi-normed spaces, that is, quotients well isomorphic to for some We give two results of this nature. The first guarantees a proportional dimensional cubic quotient when the envelope is cubic; the second gives an estimate for the size of a cubic quotient in terms of a measure of non-convexity of the quasi-norm.
Keywords
Cite
@article{arxiv.math/0104120,
title = {Quotients of finite-dimensional quasi-normed spaces},
author = {N. J. Kalton and A. E. Litvak},
journal= {arXiv preprint arXiv:math/0104120},
year = {2007}
}
Comments
13 pages