Die Sätze von Bochner and Levy für Gleason-Maße

DOI10.1007/BF01224930zbMath0437.46057OpenAlexW2914554320MaRDI QIDQ1141328

Thomas Drisch

Publication date: 1980

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01224930

zbMATH Keywords

Plancherel formuladensity matrixFourier transformationnuclear operatorprojective representationsGleason's theoremWeyl relationsquantummechanical probability theorycanonical pair of observablesGleason-measuretheorem of Bochnertheorem of Levy-Cramer

Mathematics Subject Classification ID

Representations of general topological groups and semigroups (22A25) Free probability and free operator algebras (46L54) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)

Cites Work

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• \(C^ *\)-algèbres des systèmes canoniques. I
• Foundations of the Theory of Dynamical Systems of Infinitely Many Degrees of Freedom, II
• A quantum-mechanical central limit theorem

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