p-Nuclearity in a New Perspective

Details p-Nuclearity in a New Perspective p-Nuclearity in a New Perspective

2004-12-09

arxiv.org/abs/math-ph/0412027v3

Lett. Math. Phys. 73 (2005) 1-15

Physics

Mathematical Physics

17 pages, LaTeX. Some references and a result on p-nuclearity for Banach spaces with Schauder basis have been added. Minor cha

Scientific paper

10.1007/s11005-005-8445-y

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.

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