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p-nuclearity in a new perspective

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JournalLetters in Mathematical Physics
DatePublished - Jul 2005
Issue number1
Volume73
Number of pages15
Pages (from-to)1-15
Original languageEnglish

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

    Research areas

  • algebraic quantum field theory, nuclearity conditions, operator spaces, quantum energy inequalities, QUANTUM-FIELD THEORY, PHASE-SPACE PROPERTIES, LOCAL OBSERVABLES, INDEPENDENCE, BEHAVIOR, OPERATOR, STATES

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