p-Nuclearity in a New Perspective

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dc.creatorFewster, Christopher J.
dc.creatorOjima, Izumi
dc.creatorPorrmann, Martin
dc.date2004-12-09
dc.date2005-09-02
dc.date.accessioned2026-07-07T04:31:43Z
dc.date.available2026-07-07T04:31:43Z
dc.descriptionIn 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.
dc.description17 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
dc.identifierhttps://arxiv.org/abs/math-ph/0412027
dc.identifierhttp://arxiv.org/abs/math-ph/0412027
dc.identifierLett. Math. Phys. 73 (2005) 1-15
dc.identifierdoi:10.1007/s11005-005-8445-y
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57919
dc.subjectMathematical Physics
dc.subject81T05, 47B10, 47L25
dc.titlep-Nuclearity in a New Perspective
dc.typetext

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