Natural symmetric tensor norms
Functional Analysis
2012-01-18 v4
Abstract
In the spirit of the work of Grothendieck, we introduce and study natural symmetric n-fold tensor norms. We prove that there are exactly six natural symmetric tensor norms for , a noteworthy difference with the 2-fold case in which there are four. We also describe the polynomial ideals associated to these natural symmetric tensor norms. Using a symmetric version of a result of Carne, we establish which natural symmetric tensor norms preserve Banach algebras.
Cite
@article{arxiv.1002.3950,
title = {Natural symmetric tensor norms},
author = {Daniel Carando and Daniel Galicer},
journal= {arXiv preprint arXiv:1002.3950},
year = {2012}
}
Comments
22 pages