Generalization of Maeda's theorem

DOI10.1007/BF00671687zbMath0618.46053OpenAlexW2005301261MaRDI QIDQ1822312

Anatolij Dvurečenskij

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00671687

zbMATH Keywords

supportunique\(\sigma \)- finite measures with possible infinite valuescharacterization of finite measures on a quantum logic of all closed subspaces of a Hilbert space of dimension \(\neq 2\)

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Applications of selfadjoint operator algebras to physics (46L60) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Quantum logic (03G12)

Related Items (5)

Unnamed Item ⋮ Hahn-Jordan decomposition for Gleason measures ⋮ Converse of the Eilers-Horst theorem ⋮ Gleason's theorem and completeness of inner product spaces ⋮ Unnamed Item

Cites Work

• The theorem of Gleason for non-separable Hilbert spaces
• An elementary proof of Gleason's theorem
• Generalization of Gleason's theorem
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