Journal of Operator Theory

Volume 83, Issue 1, Winter 2020 pp. 179-195.

Spectral characterization of Jordan--Segal isomorphisms of quantum observables

Authors: Lajos Molnár
Author institution:Bolyai Institute, University of Szeged, H-6720 Szeged, Aradi vértanúk tere 1, Hungary (\textit{and}) Institute of Mathematics, Budapest University of Technology and Economics, H-1521 Budapest, Hungary

Summary: We present characterizations of isomorphisms of Jordan algebras of quantum observables using only certain spectrum-preserving properties without assuming any kind of linearity. Similar problems involving the norm in the place of the spectrum are also studied.

DOI: http://dx.doi.org/10.7900/jot.2018aug31.2207
Keywords: Jordan isomorphisms, spectrum-preserving maps, Neumann algebras, quantum observables, effect algebras

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