Generalization of Gleason's theorem

DOI10.1007/BF00671760zbMath0437.46056WikidataQ57380981 ScholiaQ57380981MaRDI QIDQ5904418

Thomas Drisch

Publication date: 1979

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

zbMATH Keywords

density matricescanonical commutation relationsGleason measuresminimal W*-algebraquantummechanical probability theorystates on tensor products of Hilbert spaces

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) States of selfadjoint operator algebras (46L30)

Related Items (5)

Recent progress on pre-Hilbert-space logics and their measure spaces ⋮ Zur Realisierung unabhängiger kanonischer Paare ⋮ Quantum Mechanics As a Theory of Observables and States (And, Thereby, As a Theory of Probability) ⋮ A Boolean-valued approach to Gleason's theorem ⋮ Jordan operator algebras

Cites Work

• Set theory. An introduction to large cardinals
• The theorem of Gleason for non-separable Hilbert spaces
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