Banach spaces of weights on quasimanuals

DOI10.1007/BF00671309zbMath0579.46006MaRDI QIDQ1067162

Thurlow A. Cook

Publication date: 1985

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

zbMATH Keywords

weightspositive conepredualArchimedian ordered Banach space with an additive normbase normHahn-Vitali-Saks theoremnoncommutative measure theorynormal linear functionalsoperational logicspartially ordered Banach space with a closed generating conequasimanualstrace class operators on Hilbert space

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Spaces of measures, convergence of measures (28A33) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered topological linear spaces, vector lattices (46A40) Miscellaneous applications of functional analysis (46N99)

Related Items (6)

Tensor products and probability weights ⋮ Normal functionals and spaces of weights ⋮ Bibliography on quantum logics and related structures ⋮ Filters and supports in orthoalgebras ⋮ Tensor products in generalized measure theory ⋮ Tensor product of frame manuals

Cites Work

• The geometry of generalized quantum logics
• On the algebraic structure of quantum mechanics
• Operational Statistics. I. Basic Concepts
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