Optimal Hypercontractivity for Fermi Fields and Related Non-Commutative Integration Inequalities

Eric A. Carlen and Elliott H. Lieb
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Eric A. Carlen: Princeton University, Department of Mathematics
Elliott H. Lieb: Princeton University, Departments of Mathematics and Physics

A chapter in Inequalities, 2002, pp 151-170 from Springer

Abstract: 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.

Keywords: Conditional Expectation; Clifford Algebra; Dirichlet Form; Logarithmic Sobolev Inequality; Full Matrix Algebra (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_17

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DOI: 10.1007/978-3-642-55925-9_17

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