AN EXTENSION OF A CHARACTERIZATION OF THE AUTOMORPHISMS OF HILBERT SPACE EFFECT ALGEBRAS

Lajos Molnár, Endre Kovács

Published Jan 1, 2002• 5 citations

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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