科研之友
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摘要
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 Poincare and log-Sobolev inequalities is fleshed out. We prove Nash inequalities for a number of unital reversible semigroups.
