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arXiv · math-ph/0412027

p-Nuclearity in a New Perspective

Christopher J. Fewster·Izumi Ojima·Martin Porrmann
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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.

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Christopher J. Fewster, Izumi Ojima, Martin Porrmann. 2005-09-02. p-Nuclearity in a New Perspective. https://doi.org/10.1007/s11005-005-8445-y

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