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Hereditary properties of spectral isometries

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Abstract.

We prove that a unital surjective spectral isometry between von Neumann algebras one of which is of type I is a Jordan isomorphism. This is based on a study of some hereditary properties of spectral isometries.

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Authors and Affiliations

  1. Department of Pure Mathematics, Queen’s University Belfast, BT7 1NN, Belfast, Northern Ireland

    M. Mathieu

  2. Department of Mathematics and Statistics, University of Victoria, V8W 3P4, Victoria, B. C., Canada

    Ahmed Ramzi Sourour

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  1. M. Mathieu
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  2. Ahmed Ramzi Sourour
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Correspondence to M. Mathieu or Ahmed Ramzi Sourour.

Additional information

Received: 5 May 2003; revised manuscript accepted: 14 July 2003

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Mathieu, M., Sourour, A.R. Hereditary properties of spectral isometries. Arch. Math. 82, 222–229 (2004). https://doi.org/10.1007/s00013-003-0595-5

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  • DOI: https://doi.org/10.1007/s00013-003-0595-5

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