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Comparability Preserving Maps on Hilbert Space Effect Algebras

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Abstract

We describe the general form of bijective comparability preserving transformations of the Hilbert space effect algebra, thus improving several known characterizations of ortho-order automorphisms.

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Authors and Affiliations

  1. Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, 1000, Ljubljana, Slovenia

    Peter Šemrl

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  1. Peter Šemrl
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Correspondence to Peter Šemrl.

Additional information

Communicated by Y. Kawahigashi

This work was partially supported by a grant from the Ministry of Science of Slovenia.

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Šemrl, P. Comparability Preserving Maps on Hilbert Space Effect Algebras. Commun. Math. Phys. 313, 375–384 (2012). https://doi.org/10.1007/s00220-012-1434-y

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  • DOI: https://doi.org/10.1007/s00220-012-1434-y

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