Non-commutative Nash inequalities
Journal Article
·
· Journal of Mathematical Physics
- NBIA, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen (Denmark)
- Institute for Quantum Information and Matter, California Institute of Technology, Pasadena California 91125 (United States)
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{sub 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.
- OSTI ID:
- 22479621
- Journal Information:
- Journal of Mathematical Physics, Vol. 57, Issue 1; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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