Convex trace functions and the Wigner-Yanase-Dyson conjecture

Elliott H. Lieb

doi:10.1016/0001-8708(73)90011-X

Convex trace functions and the Wigner-Yanase-Dyson conjecture

Elliott H. Lieb

Mathematics

Research output: Contribution to journal › Article › peer-review

428 Scopus citations

Abstract

Several convex mappings of linear operators on a Hilbert space into the real numbers are derived, an example being A {multimap} - Tr exp(L + In A). Some of these have applications to physics, specifically to the Wigner-Yanase-Dyson conjecture which is proved here and to the strong subadditivity of quantum mechanical entropy which will be proved elsewhere.

Original language	English (US)
Pages (from-to)	267-288
Number of pages	22
Journal	Advances in Mathematics
Volume	11
Issue number	3
DOIs	https://doi.org/10.1016/0001-8708(73)90011-X
State	Published - Dec 1973

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1016/0001-8708(73)90011-X

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abstract = "Several convex mappings of linear operators on a Hilbert space into the real numbers are derived, an example being A {multimap} - Tr exp(L + In A). Some of these have applications to physics, specifically to the Wigner-Yanase-Dyson conjecture which is proved here and to the strong subadditivity of quantum mechanical entropy which will be proved elsewhere.",

author = "Lieb, {Elliott H.}",

note = "Funding Information: * On leave from the Department of Mathematics, M.I.T., 02139. Work partially supported by a Guggenheim Memorial and by U.S. National Science Foundation grant GP-31674X.",

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N2 - Several convex mappings of linear operators on a Hilbert space into the real numbers are derived, an example being A {multimap} - Tr exp(L + In A). Some of these have applications to physics, specifically to the Wigner-Yanase-Dyson conjecture which is proved here and to the strong subadditivity of quantum mechanical entropy which will be proved elsewhere.

AB - Several convex mappings of linear operators on a Hilbert space into the real numbers are derived, an example being A {multimap} - Tr exp(L + In A). Some of these have applications to physics, specifically to the Wigner-Yanase-Dyson conjecture which is proved here and to the strong subadditivity of quantum mechanical entropy which will be proved elsewhere.

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Convex trace functions and the Wigner-Yanase-Dyson conjecture

Abstract

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