Continuity and linear extensions of quantum measures on Jordan operator algebras.

DOI10.7146/MATH.SCAND.A-12259zbMath0685.46040OpenAlexW2526512567MaRDI QIDQ4735641

J. D. Maitland Wright, Leslie J. Bunce

Publication date: 1989

Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/186118

zbMATH Keywords

measurequantum logicquantumJBW-algebracomplete orthomodular latticerestriction of a linear state

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Nonassociative selfadjoint operator algebras (46L70)

Related Items (14)

Kalmbach outer measures and valuations ⋮ Extension properties of states on operator algebras ⋮ The Mackey-Gleason Problem ⋮ Spectral order of operators and range projections ⋮ An approach to quantum mechanics via conditional probabilities ⋮ On two problems concerning enveloping von Neumann algebras of JW-algebras ⋮ Star order on JBW algebras ⋮ A Kowalski-Słodkowski theorem for 2-local \({}^\ast\)-homomorphisms on von Neumann algebras ⋮ A representation of quantum measurement in order-unit spaces ⋮ 2-local triple homomorphisms on von Neumann algebras and JBW*-triples ⋮ Maps preserving quadratic product between positive cones of JBW-algebras ⋮ Hilbert and Thompson isometries on cones in JB-algebras ⋮ Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors ⋮ Dynamical correspondence in a generalized quantum theory

This page was built for publication: Continuity and linear extensions of quantum measures on Jordan operator algebras.