Non-commutative Nash inequalities

Kastoryano, Michael and Temme, Kristan (2016) Non-commutative Nash inequalities. Journal of Mathematical Physics, 57 (1). Art. No. 015217. ISSN 0022-2488. doi:10.1063/1.4937382. https://resolver.caltech.edu/CaltechAUTHORS:20160225-134540321

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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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
http://dx.doi.org/10.1063/1.4937382	DOI	Article
http://scitation.aip.org/content/aip/journal/jmp/57/1/10.1063/1.4937382	Publisher	Article
http://arxiv.org/abs/1508.02522	arXiv	Discussion Paper

Additional Information:

© 2016 AIP Publishing LLC. Received 11 August 2015; accepted 24 November 2015; published online 16 December 2015. M.J.K. was supported by the Carlsbergfond and the Villum foundation. K.T. was supported by the Institute for Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation (Grant Nos. PHY-0803371 and PHY-1125565).

Group:

Institute for Quantum Information and Matter

Funders:

Funding Agency	Grant Number
Carlsbergfond	UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)	UNSPECIFIED
NSF	PHY-0803371
NSF	PHY-1125565
Villum Foundation	UNSPECIFIED
Gordon and Betty Moore Foundation	UNSPECIFIED

Issue or Number:

DOI:

10.1063/1.4937382

Record Number:

CaltechAUTHORS:20160225-134540321

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20160225-134540321

Official Citation:

Non-commutative Nash inequalities Michael Kastoryano and Kristan Temme J. Math. Phys. 57, 015217 (2016); http://dx.doi.org/10.1063/1.4937382

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

64768

Collection:

CaltechAUTHORS

Deposited By:

Ruth Sustaita

Deposited On:

25 Feb 2016 22:28

Last Modified:

10 Nov 2021 23:35

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