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Spectral Order Automorphisms of the Spaces of Hilbert Space Effects and Observables

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Abstract

We describe the general form of bijective maps on the space of all Hilbert space effects or all observables on a finite dimensional space which preserve the spectral order in both directions.

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Authors and Affiliations

  1. Institute of Mathematics, University of Debrecen, P.O. Box 12, 4010, Debrecen, Hungary

    Lajos Molnár

  2. Department of Mathematics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia

    Peter Šemrl

Authors
  1. Lajos Molnár
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  2. Peter Šemrl
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Corresponding author

Correspondence to Lajos Molnár.

Additional information

The first author was supported by the Hungarian National Foundation for Scientific Research (OTKA), Grant No. T043080, T046203, and the second author was partially supported by a grant from the Ministry of Science of Slovenia. Both authors were supported by a joint Hungarian-Slovene grant, Reg. No. SLO-5/05.

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Molnár, L., Šemrl, P. Spectral Order Automorphisms of the Spaces of Hilbert Space Effects and Observables. Lett Math Phys 80, 239–255 (2007). https://doi.org/10.1007/s11005-007-0160-4

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  • DOI: https://doi.org/10.1007/s11005-007-0160-4

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