Affine structure of facially symmetric spaces

DOI10.1017/S030500410006802XzbMath0693.46010MaRDI QIDQ3468131

Yaakov Friedman, Bernard Russo

Publication date: 1989

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

polar decompositiongeneralized Pierce decomposition associated with a facegeometric properties of locally facially symmetric spacessemi- exposed faces in facially symmetric spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items

Geometric description of the preduals of atomic commutative von Neumann algebras ⋮ Geometric characterization of tripotents in real and complex JB\(^{*}\)-triples ⋮ Characterization of JBW-algebras with strongly facially symmetric predual space ⋮ A geometric characterization of structural projections on a JBW\(^{\ast}\)-triple. ⋮ Boolean valued analysis of Banach spaces ⋮ 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 ⋮ Representation of symmetry transformations on the sets of tripotents of spin and Cartan factors

Cites Work

• Jordan triple systems by the grid approach
• The Gelfand-Naimark theorem for \(JB^ *\)-triples
• State space of C*-algebras
• State spaces of Jordan algebras
• Compatible Peirce decompositions of Jordan triple systems
• A GEOMETRIC SPECTRAL THEOREM
• On the Facial Structure of the Unit Balls in a JBW^∗ -Triple and its Predual
• Classification of JBW*-triple factors and applications.