On a measure on the inductive limit of projection logics

DOI10.1007/S10773-005-3994-5zbMath1130.81307OpenAlexW2077940670MaRDI QIDQ2575468

Marjan Matvejchuk, Elena Vladova

Publication date: 12 December 2005

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

Full work available at URL: https://doi.org/10.1007/s10773-005-3994-5

zbMATH Keywords

von Neumann algebraHilbert spaceprojectionmeasure

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Applications of functional analysis in quantum physics (46N50) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10)

Cites Work

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• A theorem about states on quantum logics. II
• Measures on the quantum logic of subspaces of a \(J\)-space
• On the problem of boundedness of a signed measure on projections of a von Neumann algebra
• Measure on the inductive limit of projection lattices
• Linearity of a charge on a lattice of orthoprojectors

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