A Gaussian Average Property for Banach Spaces
Functional Analysis
2016-09-06 v1
Abstract
In this paper we investigate a Gaussian average property of Banach spaces. This property is weaker than the Gordon Lewis property but closely related to this and other unconditional structures. It is also shown that this property implies that certain Hilbert space valued operators defined on subspaces of the given space can be extended.
Keywords
Cite
@article{arxiv.math/9602206,
title = {A Gaussian Average Property for Banach Spaces},
author = {Peter G. Casazza and Niels Jorgen Nielsen},
journal= {arXiv preprint arXiv:math/9602206},
year = {2016}
}