p-Nuclearity in a New Perspective
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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.
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
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