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- W3106207327 abstract "We develop the notions of hypercontractivity (HC) and the log-Sobolev (LS) inequality for completely bounded norms of one-parameter semigroups of super-operators acting on matrix algebras. We prove the equivalence of the completely bounded versions of HC and LS under suitable hypotheses. We also prove a version of the Gross lemma which allows LS at general q to be deduced from LS at q = 2." @default.
- W3106207327 created "2020-11-23" @default.
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- W3106207327 date "2015-11-05" @default.
- W3106207327 modified "2023-10-06" @default.
- W3106207327 title "Hypercontractivity and the logarithmic Sobolev inequality for the completely bounded norm" @default.
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- W3106207327 doi "https://doi.org/10.1063/1.4934729" @default.
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