p-Nuclearity in a New Perspective
Mathematical Physics
2007-05-23 v3 math.MP
Abstract
In this paper we try to settle some confused points concerning the use of the notion of p-nuclearity in the mathematical and physical literature, pointing out that the nuclearity index in the physicists' sense vanishes for any p > 1. Our discussion of these issues suggests a new perspective, in terms of epsilon-entropy and operator spaces, which might permit connections to be drawn between phase space criteria and quantum energy inequalities.
Keywords
Cite
@article{arxiv.math-ph/0412027,
title = {p-Nuclearity in a New Perspective},
author = {Christopher J. Fewster and Izumi Ojima and Martin Porrmann},
journal= {arXiv preprint arXiv:math-ph/0412027},
year = {2007}
}
Comments
17 pages, LaTeX. Some references and a result on p-nuclearity for Banach spaces with Schauder basis have been added. Minor changes in version 3 to match the published article