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Frobenius theory for positive maps of von Neumann algebras

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Abstract

Frobenius theory about the cyclic structure of eigenvalues of irreducible non negative matrices is extended to the case of positive linear maps of von Neumann algebras. Semigroups of such maps and ergodic properties are also considered.

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Authors and Affiliations

  1. Institute of Mathematics, University of Oslo, Blindern, Oslo, Norway

    Sergio Albeverio & Raphael Høegh-Krohn

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  1. Sergio Albeverio
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  2. Raphael Høegh-Krohn
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Communicated by H. Araki

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Albeverio, S., Høegh-Krohn, R. Frobenius theory for positive maps of von Neumann algebras. Commun.Math. Phys. 64, 83–94 (1978). https://doi.org/10.1007/BF01940763

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  • DOI: https://doi.org/10.1007/BF01940763

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