Probability measure on conjugation logics

DOI10.1007/s11117-014-0314-4zbMath1321.28007OpenAlexW1987235919MaRDI QIDQ496791

Marjan Matvejchuk

Publication date: 22 September 2015

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-014-0314-4

zbMATH Keywords

Hilbert spaceprojectionmeasureconjugation operator

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Linear operator inequalities (47A63) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Measures on Boolean rings, measure algebras (28A60) Linear operators on spaces with an indefinite metric (47B50)

Related Items (4)

Unnamed Item ⋮ Operator analogy of quantum pseudo-logic ⋮ Probability measure on real-orthogonal projections ⋮ Real orthogonal projections as quantum logic

Cites Work

• Any regular measure on conjugation logic is a complex measure
• Classification of von Neumann J-algebras
• Hermitian measures in \(W^*J\)-algebras in Hilbert spaces with conjugation
• Idempotents in a space with conjugation
• Idempotents as \(J\)-projections. II
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