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An extension of a characterization of the automorphisms of Hilbert space effect algebras

Lajos Molnar·Endre Kovacs
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Abstract

The aim of this paper is to show that if an order preserving bijective transformation of the Hilbert space effect algebra also preserves the probability with respect to a fixed pair of mixed states, then it is an ortho-order automorphism. A similar result for the orthomodular lattice of all sharp effects (i.e., projections) is also presented.

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Lajos Molnar, Endre Kovacs. 2002-11-01. An extension of a characterization of the automorphisms of Hilbert space effect algebras. https://doi.org/10.1016/s0034-4877(03)90008-5

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