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Non-commutative Nash inequalities

By Michael Kastoryano and Kristan Temme

Abstract

A set of functional inequalities—called Nash inequalities—are introduced and analyzed in the context of quantum Markov process mixing. The basic theory of Nash inequalities is extended to the setting of non-commutative L_p spaces, where their relationship to Poincaré and log-Sobolev inequalities is fleshed out. We prove Nash inequalities for a number of unital reversible semigroups

Publisher: 'AIP Publishing'
Year: 2016
OAI identifier: oai:authors.library.caltech.edu:64768

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