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Symmetries of Hilbert space effect algebras

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Publication:2854247
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DOI10.1112/jlms/jdt021zbMath1285.47042OpenAlexW2031374203MaRDI QIDQ2854247

Peter Šemrl

Publication date: 18 October 2013

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdt021


zbMATH Keywords

symmetrieseffect algebrasadjacency-preserving maps


Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)


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Busch-Gudder metric on the cone of positive semidefinite operators and its isometries ⋮ Order isomorphisms of operator intervals ⋮ The local reduced minimum modulus on a Hilbert space ⋮ Hua's fundamental theorem of geometry of rectangular matrices over EAS division rings ⋮ On the nonexistence of order isomorphisms between the sets of all self-adjoint and all positive definite operators ⋮ Continuous coexistency preservers on effect algebras *




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