A GEOMETRIC SPECTRAL THEOREM

DOI10.1093/qmath/37.3.263zbMath0612.46073OpenAlexW2017513639MaRDI QIDQ3752951

Bernard Russo, Yaakov Friedman

Publication date: 1986

Published in: The Quarterly Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qmath/37.3.263

zbMATH Keywords

orthogonalityspectral theoremfacially symmetric spaceproduct structurefacial symmetrygeneralized tripotentsgeometric model for quantum mechanicsgeometric spectral decompositionmeasuring processes on the set of obsevables of a quantum mechanical systemnorm exposed faces

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Spectral operators, decomposable operators, well-bounded operators, etc. (47B40) Ordered topological linear spaces, vector lattices (46A40) Miscellaneous applications of functional analysis (46N99)

Related Items (8)

Affine structure of facially symmetric spaces ⋮ Geometric description of the preduals of atomic commutative von Neumann algebras ⋮ Characterization of JBW-algebras with strongly facially symmetric predual space ⋮ Description of facially symmetric spaces with unitary tripotents ⋮ Characterizations of geometric tripotents in reflexive complex SFS-spaces ⋮ Geometric description of \(L_1\)-spaces ⋮ Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras ⋮ Geometric characterization of real JBW-factors

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