Optimal hypercontractivity for fermi fields and related non-commutative integration inequalities

Eric A. Carlen; Elliott H. Lieb

doi:10.1007/BF02100048

Optimal hypercontractivity for fermi fields and related non-commutative integration inequalities

Eric A. Carlen, Elliott H. Lieb

Mathematics

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63 Scopus citations

Abstract

Optimal hypercontractivity bounds for the fermion oscillator semigroup are obtained. These are the fermion analogs of the optimal hypercontractivity bounds for the boson oscillator semigroup obtained by Nelson. In the process, several results of independent interest in the theory of non-commutative integration are established.

Original language	English (US)
Pages (from-to)	27-46
Number of pages	20
Journal	Communications In Mathematical Physics
Volume	155
Issue number	1
DOIs	https://doi.org/10.1007/BF02100048
State	Published - Jul 1993

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02100048

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title = "Optimal hypercontractivity for fermi fields and related non-commutative integration inequalities",

abstract = "Optimal hypercontractivity bounds for the fermion oscillator semigroup are obtained. These are the fermion analogs of the optimal hypercontractivity bounds for the boson oscillator semigroup obtained by Nelson. In the process, several results of independent interest in the theory of non-commutative integration are established.",

author = "Carlen, {Eric A.} and Lieb, {Elliott H.}",

year = "1993",

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AU - Carlen, Eric A.

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Optimal hypercontractivity for fermi fields and related non-commutative integration inequalities

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