Journal of Operator Theory
Volume 83, Issue 1, Winter 2020 pp. 179-195.
Spectral characterization of Jordan--Segal isomorphisms of quantum observables
Authors:
Lajos Moln\'ar
Author institution:Bolyai Institute,
University of Szeged,
H-6720 Szeged, Aradi v\'ertan\'uk 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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