Decision effects, the Hahn-Jordan decomposition for states, and their connection to Ludwig's axiomatic approach to quantum mechanics

DOI10.1007/s10773-005-8012-4zbMath1110.81006OpenAlexW2064451106MaRDI QIDQ861635

Thurlow A. Cook, Joanna M. Jeneralczuk

Publication date: 29 January 2007

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

Full work available at URL: https://doi.org/10.1007/s10773-005-8012-4

zbMATH Keywords

effectsquantum logicorthomodular posetsbase-normed spacesLudwig's axiomatic developmentorder unit normed spaces

Mathematics Subject Classification ID

General and philosophical questions in quantum theory (81P05) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered normed spaces (46B40)

Cites Work

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• Orthoposets of extreme points and quantum logics
• Sets of states and extreme points
• The geometry of generalized quantum logics
• The Approximate Jordan-Hahn Decomposition
• Non-commutative spectral theory for affine function spaces on convex sets
• Operational Statistics. I. Basic Concepts

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