Publications of the Research Institute for Mathematical Sciences
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Relative Entropy of States of von Neumann Algebras
Huzihiro Araki (1)(1) Kyoto University, 606-8502, KYOTO, JAPAN
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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