An extension of a characterization of the automorphisms of Hilbert space effect algebras

DOI10.1016/S0034-4877(03)90008-5zbMath1052.81007arXivmath/0211016OpenAlexW3099045468MaRDI QIDQ1422467

Endre Kovács, Lajos Molnár

Publication date: 15 February 2004

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

Full work available at URL: https://arxiv.org/abs/math/0211016

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Abstract operator algebras on Hilbert spaces (47L30) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Algebraic aspects of posets (06A11)

Related Items (3)

Preserving some numerical correspondences between Hilbert space effects ⋮ Order isomorphisms of operator intervals ⋮ Comparability preserving maps on Hilbert space effect algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• States, effects, and operations. Fundamental notions of quantum theory. Lectures in mathematical physics at the University of Texas at Austin. Ed. by A. Böhm, J. D. Dollard and W. H. Wootters
• Linear preserver problems: A brief introduction and some special techniques
• Infima of Hilbert space effects
• Effects as functions on projective Hilbert space
• Conditionally multiplicative maps on the set of all bounded observables preserving compatibility
• Linear Preserver Problems
• Order-automorphisms of the set of bounded observables
• ⊥-order automorphisms of Hilbert space effect algebras: The two-dimensional case
• On Isomorphisms of Lattices of Closed Subspaces
• Symmetry Groups in Quantum Mechanics and the Theorem of Wigner on the Symmetry Transformations
• Characterizations of the automorphisms of Hilbert space effect algebras

This page was built for publication: An extension of a characterization of the automorphisms of Hilbert space effect algebras