On realization of partially ordered abelian groups
From MaRDI portal
Publication:363013
DOI10.1007/s10773-012-1426-xzbMath1270.81011OpenAlexW2094818853MaRDI QIDQ363013
Ivan Chajda, Jan Paseka, Lei Qiang
Publication date: 30 August 2013
Published in: International Journal of Theoretical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10773-012-1426-x
statesorthomodular latticeeffect algebrasnon-classical logicsgeneralized effect algebrasgeneralized statesoperators on Hilbert spaces
Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Operator algebra methods applied to problems in quantum theory (81R15)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spaces of abstract events
- Effect algebras of positive linear operators densely defined on Hilbert spaces
- Generalized effect algebras of bounded positive operators defined on Hilbert spaces
- Effect algebras are not adequate models for quantum mechanics
- Generalized effect algebras of positive operators densely defined on Hilbert spaces
- \(\mathcal{PT}\)-symmetry in (generalized) effect algebras
- Effect algebras and unsharp quantum logics.
- Considerable sets of linear operators in Hilbert spaces as operator generalized effect algebras
- Hilbert space operators in quantum physics
- Interval and scale effect algebras
- Hilbert space effect-representations of effect algebras
- On realization of generalized effect algebras
- On a cryptographical characterization of classical and nonclassical event systems
- Coexistence in interval effect algebras
- On algebras of multidimensional probabilities
- On a characterization of classical and nonclassical probabilities
- On the characterization of probabilities: A generalization of Bell’s inequalities
- AN AXIOMATIZATION FOR ABELIAN RELATIVE INVERSES
- Pseudoeffect algebras. I: Basic properties
