Generalized effect algebras of positive operators densely defined on Hilbert spaces

DOI10.1007/S10773-010-0458-3zbMath1237.81009OpenAlexW2043322000MaRDI QIDQ539534

Zdenka Riečanová, Marcel Polakovič

Publication date: 30 May 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0458-3

zbMATH Keywords

Hilbert spacequantum structures(generalized) effect algebra(unbounded) positive linear operator

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Related Items (15)

Dimension theory for generalized effect algebras. ⋮ On realization of partially ordered abelian groups ⋮ On bilinear forms from the point of view of generalized effect algebras ⋮ Hull determination and type decomposition for a generalized effect algebra ⋮ Hilbert space effect-representations of effect algebras ⋮ On realization of generalized effect algebras ⋮ A Hilbert space operator representation of abelian po-groups of bilinear forms ⋮ Effect algebras of positive linear operators densely defined on Hilbert spaces ⋮ Generalized effect algebras of bounded positive operators defined on Hilbert spaces ⋮ The center of a generalized effect algebra. ⋮ Representation of concrete logics and concrete generalized orthomodular posets ⋮ Top element problem and MacNeille completions of generalized effect algebras ⋮ Considerable sets of linear operators in Hilbert spaces as operator generalized effect algebras ⋮ Weakly ordered partial commutative group of self-adjoint linear operators densely defined on Hilbert space ⋮ Representations of zero-cancellative pomonoids

Cites Work

• Effect algebras and unsharp quantum logics.
• Hilbert space operators in quantum physics
• Generalization of blocks for \(D\)-lattices and lattice-ordered effect algebras
• Algebraic Analysis of Many Valued Logics
• AN AXIOMATIZATION FOR ABELIAN RELATIVE INVERSES
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