Preserving some numerical correspondences between Hilbert space effects

DOI10.1016/S0034-4877(04)80014-4zbMath1100.47032OpenAlexW1979775629MaRDI QIDQ852089

Endre Kovács, Lajos Molnár

Publication date: 27 November 2006

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(04)80014-4

zbMATH Keywords

automorphismsHilbert space effects

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Operator algebra methods applied to problems in quantum theory (81R15) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Maps between Hilbert space effect algebras preserving unitary invariant norms of the sequential product ⋮ Order preserving bijections of \(\mathcal C(\mathcal X,\mathcal I)\)

Cites Work

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• Selected preserver problems on algebraic structures of linear operators and on function spaces
• Effects as functions on projective Hilbert space
• Preservers on Hilbert space effects.
• An extension of a characterization of the automorphisms of Hilbert space effect algebras
• On some automorphisms of the set of effects on Hilbert space.
• Sequential products on effect algebras
• Sequential quantum measurements
• Preserving the measure of compatibility between quantum states
• Characterizations of the automorphisms of Hilbert space effect algebras

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