Research output: Contribution to journal › Article

Journal | Letters in Mathematical Physics |
---|---|

Date | Published - Jul 2005 |

Issue number | 1 |

Volume | 73 |

Number of pages | 15 |

Pages (from-to) | 1-15 |

Original language | English |

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.

- 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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