Generalized effect algebras of bounded positive operators defined on Hilbert spaces

DOI10.1016/S0034-4877(12)60007-XzbMath1250.81014OpenAlexW2062658126MaRDI QIDQ442101

Marcel Polakovič

Publication date: 9 August 2012

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

Full work available at URL: https://doi.org/10.1016/s0034-4877(12)60007-x

zbMATH Keywords

Hilbert space(generalized) effect algebrabounded positive linear operator

Mathematics Subject Classification ID

Linear operators on Banach algebras (47B48) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (8)

Dimension theory for generalized effect algebras. ⋮ On realization of partially ordered abelian groups ⋮ Hull determination and type decomposition for a generalized effect algebra ⋮ Hilbert space effect-representations of effect algebras ⋮ On realization of generalized effect algebras ⋮ Generalized random events ⋮ The exocenter of a generalized effect algebra ⋮ The center of a generalized effect algebra.

Cites Work

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• Generalized effect algebras of positive operators densely defined on Hilbert spaces
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• Hilbert space operators in quantum physics
• Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart \& Winston, Inc.
• Subalgebras, intervals, and central elements of generalized effect algebras
• AN AXIOMATIZATION FOR ABELIAN RELATIVE INVERSES

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