Relative Entropy of States of von Neumann Algebras

Huzihiro Araki

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Source: Crossref

Published: Dec 31, 1975

DOI: 10.2977/prims/1195191148

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Source abstract

Relative entropy of two states of a von Neumann algebra is defined in terms of the relative modular operator. The strict positivity, lower semicontinuity, convexity and monotonicity of relative entropy are proved. The Wigner-Yanase-Dyson-Lieb concavity is also proved for general von Neumann algebra.

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