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Equivalence between logarithmic Sobolev inequality and hypercontractivity in a probability gage space
Published online by Cambridge University Press: 17 December 2020
Abstract
In this paper, we prove the equivalence between logarithmic Sobolev inequality and hypercontractivity of a class of quantum Markov semigroup and its associated Dirichlet form based on a probability gage space.
MSC classification
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 64 , Issue 1 , February 2021 , pp. 59 - 71
- Copyright
- Copyright © The Author(s) 2020. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society
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