Grothendieck's inequality in the noncommutative Schwartz space
Functional Analysis
2018-08-22 v1 Operator Algebras
Abstract
In the spirit of Grothendieck's famous inequality from the theory of Banach spaces, we study a sequence of inequalities for the noncommutative Schwartz space, a Fr\'echet algebra of smooth operators. These hold in non-optimal form by a simple nuclearity argument. We obtain optimal versions and reformulate the inequalities in several different ways.
Keywords
Cite
@article{arxiv.1605.01543,
title = {Grothendieck's inequality in the noncommutative Schwartz space},
author = {Rupert H. Levene and Krzysztof Piszczek},
journal= {arXiv preprint arXiv:1605.01543},
year = {2018}
}