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Measures on the quantum logic of subspaces of a \(J\)-space

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Publication:1177552
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DOI10.1007/BF00972773zbMath0755.46031MaRDI QIDQ1177552

S. Singh

Publication date: 26 June 1992

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

\(J\)-selfadjoint operatorKrejn spacegeneralization of Gleason theorem to spaces with indefinite inner product


Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Spaces with indefinite inner product (Kre?n spaces, Pontryagin spaces, etc.) (46C20)


Related Items

Unnamed Item ⋮ Semiconstant measures on hyperbolic logics ⋮ Probability measures in 𝑊*𝐽-algebras in Hilbert spaces with conjugation ⋮ On a measure on the inductive limit of projection logics



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Quantum measures and states on Jordan algebras
  • Measures on projections and physical states
  • The logic of quantum mechanics
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