scientific article

zbMath0656.06012MaRDI QIDQ3803173

Gudrun Kalmbach

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

orthomodular latticesGleason's theoremBirkhoff-von Neumann theoremDecompositionJordan-Hahn decompositionKakutani-Mackey theoremdimension latticesEquational classesCoordinatizationsKeller's non-classical Hilbert spacesmeasures on Hilbert latticesOrthofacial sets of statesOrthomodular measures

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02) Set functions and measures on spaces with additional structure (28C99) Research exposition (monographs, survey articles) pertaining to ordered structures (06-02)

Related Items

Implementation of comparative probability by states, Orthosummable orthoalgebras, Dimension theory for generalized effect algebras., Bell-type inequalities in orthomodular lattices. I: Inequalities of order 2, On complete-cocomplete subspaces of an inner product space., A discussion on the origin of quantum probabilities, Recent progress on pre-Hilbert-space logics and their measure spaces, On the lattice structure of probability spaces in quantum mechanics, Quantum logic is undecidable, Characterizations of categories of commutative \(C^*\)-subalgebras, Quantum probability: a reliable tool for an agent or a reliable source of reality?, Hilbert lattice equations, Comparative probability on von Neumann algebras, Exact topological analogs to orthoposets, Lattice properties of subspace families in an inner product space, Quotients of dimension effect algebras, Bibliography on quantum logics and related structures, On the representation of measures over bounded lattices, Order-topological separable complete modular ortholattices admit order continuous faithful valuations, Hilbert-space-valued states on quantum logics, A formal framework for the study of the notion of undefined particle number in quantum mechanics, Compositions of Sasaki projections, Centrally orthocomplete effect algebras, Type-decomposition of an effect algebra, Quantum logic in dagger kernel categories, On Gleason's theorem without Gleason, Implementation of comparative probability by normal states. Infinite dimensional case, A topos for algebraic quantum theory, A quantum logical and geometrical approach to the study of improper mixtures, The Brooks-Jewett theorem on an orthomodular lattice