A Boolean-valued approach to Gleason's theorem
type: Item
instance of: scholarly article
title: A Boolean-valued approach to Gleason's theorem
zbMATH Open document ID: 0845.46049
DOI: 10.1016/0034-4877(94)90031-0
author: Hirokazu Nishimura
published in: Reports on Mathematical Physics
publication date: 1995-05-30T00:00:00Z
Mathematics Subject Classification ID: 46S20
Mathematics Subject Classification ID: 46L51
Mathematics Subject Classification ID: 46L53
Mathematics Subject Classification ID: 46L54
zbMATH DE Number: 753949
zbMATH Keywords: Gleason's theorems with factor assumption
zbMATH Keywords: without the factor assumption
MaRDI profile type: Publication
full work available at URL: 0034-4877(94)90031-0
OpenAlex ID: W2051174466
cites work: Quasi-States on C ∗ -Algebras
cites work: The Mackey-Gleason Problem
cites work: Measures on projections and physical states
cites work: Q3927697
cites work: On the problem of boundedness of a signed measure on projections of a von Neumann algebra
cites work: Generalization of Gleason's theorem
cites work: New look at Gleason's theorem for signed measures
cites work: Q3136420
cites work: The theorem of Gleason for non-separable Hilbert spaces
cites work: Q3245484
cites work: Q5665737
cites work: Q3667432
cites work: Projections in Banach algebras
cites work: Algebras of type I
cites work: Modules Over Operator Algebras
cites work: Quantum Mechanics and Hilbert Space
cites work: An approach to the dimension theory of continuous geometry from the standpoint of Boolean valued analysis
cites work: Boolean transfer from coherent quantum logics to quantum logics with continuous superselection rules
cites work: On the duality between Boolean-valued analysis and reduction theory under the assumption of separability
cites work: Boolean valued interpretation of Hilbert space theory
cites work: A classification of type I \(AW^*\)-algebras and Boolean valued analysis
cites work: A Transfer Principle from Von Neumann Algebras to AW∗ -Algebras
cites work: Boolean Valued Analysis Approach to the Trace Problem of Aw∗-Algebras
cites work: Measures on projections in \(W^ *\)-factors
cites work: Commutative regular rings and Boolean-valued fields
cites work: Theory of operator algebras I.
cites work: Two Applications of Logic to Mathematics
cites work: Von Neumann algebras and Boolean valued analysis
cites work: Q5676214
cites work: Measures on Projections in W*-algebras of Type II1
description: scientific article; zbMATH DE number 753949