Lattice of tripotents in a \(\text{JBW}^*\)-triple

DOI10.1007/BF00676247zbMath0841.03033OpenAlexW2001578226MaRDI QIDQ1907558

Gottfried T. Rüttimann, C. Martin Edwards

Publication date: 16 July 1996

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

Full work available at URL: https://doi.org/10.1007/bf00676247

zbMATH Keywords

orthomodular latticesstate spacecomplex Banach spacestripotentsJBW* algebrastriple spaces

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Quantum logic (03G12)

Cites Work

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• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• Jordan triple systems by the grid approach
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• Jordan pairs
• Jordan \(C^*\)-algebras
• Structure of the predual of a JBW*-triple.
• The Approximate Jordan-Hahn Decomposition
• On the facial structure of the unit balls in a GL-space and its dual
• Contractive projections on Jordan $C^*$-algebras and generalizations.
• On the Facial Structure of the Unit Balls in a JBW^∗ -Triple and its Predual
• Weak*-continuity of Jordan triple products and its applications.
• Characterization of the predual and ideal structure of a JBW*-triple.
• ORDER THEORETIC TYPE DECOMPOSITION OF JBW ^*-TRIPLES
• Banach Spaces with Biholomorphically Equivalent Unit Balls are Isomorphic
• A Vidav theorem for Banach Jordan algebras
• Annihilators in JB-algebras

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