The geometry of generalized quantum logics

DOI10.1007/BF00678422zbMath0434.03044MaRDI QIDQ1139587

Thurlow A. Cook

Publication date: 1978

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

zbMATH Keywords

extreme pointsnoncommutative measure theoryorder-unit Banach spaceorthocomplemented orthomodular partially ordered setpartially ordered normed space

Mathematics Subject Classification ID

Banach lattices (46B42) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Convex sets in topological linear spaces; Choquet theory (46A55) Quantum logic (03G12) Ordered topological linear spaces, vector lattices (46A40) Miscellaneous applications of functional analysis (46N99)

Related Items (8)

Decision effects, the Hahn-Jordan decomposition for states, and their connection to Ludwig's axiomatic approach to quantum mechanics ⋮ Sets of states and extreme points ⋮ Conditional probability, three-slit experiments, and the Jordan algebra structure of quantum mechanics ⋮ Bibliography on quantum logics and related structures ⋮ Orthomodular lattices and quadratic spaces: A survey ⋮ Delinearization of quantum logic ⋮ Banach spaces of weights on quasimanuals ⋮ Symmetries on quantum logics

Cites Work

• Symmetries on quantum logics
• Jordan-Hahn decomposition of signed weights on finite orthogonality spaces
• On the algebraic structure of quantum mechanics
• The logic of quantum mechanics
• Sur un théorème de Banach
• Isometries of operator algebras
• Operational Statistics. I. Basic Concepts
• Operational statistics. II. Manuals of operations and their logics
• On the Homeomorphic Affine Embedding of a Locally Compact Cone into a Banach Dual Space Endowed with the Vague Topology
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