Comparability preserving maps on Hilbert space effect algebras

DOI10.1007/s00220-012-1434-yzbMath1252.47033OpenAlexW1965970175MaRDI QIDQ443958

Peter Šemrl

Publication date: 13 August 2012

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00220-012-1434-y

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Maps preserving product \(A^\ast B + B^\ast A\) on \(C^\ast\)-algebras ⋮ Spectral order automorphisms on Hilbert space effects and observables: the 2-dimensional case ⋮ Maps on density operators preserving quantum \(f\)-divergences ⋮ Order isomorphisms of operator intervals ⋮ Loewner’s theorem for maps on operator domains ⋮ Maps preserving product \(A^* B + BA^*\) on \(C^*\)-algebras ⋮ Order isomorphisms of operator intervals in von Neumann algebras ⋮ The local reduced minimum modulus on a Hilbert space ⋮ Coexistency on Hilbert space effect algebras and a characterisation of its symmetry transformations ⋮ On order automorphisms of the effect algebra ⋮ 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 ⋮ Unnamed Item ⋮ Continuous coexistency preservers on effect algebras ^*

Cites Work

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