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Letters in Mathematical Physics

, Volume 73, Issue 1, pp 1–15 | Cite as

p-Nuclearity in a New Perspective

  • Christopher J. FewsterEmail author
  • Izumi ojima
  • Martin Porrmann
Article

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.

Keywords

algebraic quantum field theory nuclearity conditions operator spaces quantum energy inequalities. 

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Copyright information

© Springer 2005

Authors and Affiliations

  • Christopher J. Fewster
    • 1
    Email author
  • Izumi ojima
    • 2
  • Martin Porrmann
    • 3
  1. 1.Department of MathematicsUniversity of YorkHeslingtonUnited Kingdom
  2. 2.Research Institute for Mathematical SciencesKyoto UniversityKyotoJapan
  3. 3.Institut für Theoretische PhysikUniversität HamburgHamburgGermany

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