Gleason's theorem for rectangular \(JBW^*\)-triples

DOI10.1007/S002200050612zbMath0935.46059OpenAlexW2025599919MaRDI QIDQ1302014

Gottfried T. Rüttimann, C. Martin Edwards

Publication date: 4 May 2000

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002200050612

zbMATH Keywords

Gleason's theoremcomplete orthomodular latticeJordan systemsprincipal order idealquantum-mechanical systemcomplete *-latticehereditary sub-W\(^*\)-algebrasrectangular \(\text{JB}^*\)-triplerectangular \(\text{JBW}^*\)-triplesweak\(^*\)-closed inner ideal of a W\(^*\)-algebra

Mathematics Subject Classification ID

Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70) Nonassociative topological algebras (46H70)

Related Items (7)

Faithful inner ideals in \(JBW^{\ast}\)-triples ⋮ Involutive gradings of JBW\(^{*}\)-triple factors ⋮ Orthogonal pairs of weak*-closed inner ideals in a JBW*-triple ⋮ Boundedness of completely additive measures with application to 2-local triple derivations ⋮ Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors ⋮ Measures on the lattice of closed inner ideals in a spin triple ⋮ The central hull and central kernel in JBW\(^*\)-triples

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