JournalsprimsVol. 13, No. 1pp. 173–192

Relative Entropy for States of von Neumann Algebras II

  • Huzihiro Araki

    Kyoto University, Japan
Relative Entropy for States of von Neumann Algebras II cover
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Abstract

Earlier definition of the relative entropy of two faithful normal positive linear functionals of a von Neumann algebra is generalized to non-faithful functionals. Basic properties of the relative entropy are proved for this generalization.

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Huzihiro Araki, Relative Entropy for States of von Neumann Algebras II. Publ. Res. Inst. Math. Sci. 13 (1977), no. 1, pp. 173–192

DOI 10.2977/PRIMS/1195190105