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p-Nuclearity in a New Perspective

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Abstract

In this Letter 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 ε-entropy and operator spaces, which might permit connections to be drawn between phase space criteria and quantum energy inequalities.

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Authors and Affiliations

  1. Department of Mathematics, University of York, Heslington, York, YO10 5DD, United Kingdom

    Christopher J. Fewster

  2. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan

    Izumi ojima

  3. Institut für Theoretische Physik, Universität Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany

    Martin Porrmann

Authors
  1. Christopher J. Fewster
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  2. Izumi ojima
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  3. Martin Porrmann
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Correspondence to Christopher J. Fewster.

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Mathematics Subject Classification (2000): 81T05, 47B10, 47L25.

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Fewster, C.J., ojima, I. & Porrmann, M. p-Nuclearity in a New Perspective. Lett Math Phys 73, 1–15 (2005). https://doi.org/10.1007/s11005-005-8445-y

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  • DOI: https://doi.org/10.1007/s11005-005-8445-y

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