On the facial structure of the unit balls in a GL-space and its dual

DOI10.1017/S0305004100063489zbMath0577.46007OpenAlexW2001363772MaRDI QIDQ3699387

C. Martin Edwards, Gottfried T. Rüttimann

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1017/s0305004100063489

zbMATH Keywords

order intervalsGL-spaceprojective facesnorm exposed faceGM-spacefacial structure unit ballsnorm semi-exposed facepre- dual of a JBW-algebraprojective unitsweak* semi-exposed face

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Geometry and structure of normed linear spaces (46B20) Banach lattices (46B42) Ordered topological linear spaces, vector lattices (46A40) Jordan structures on Banach spaces and algebras (17C65)

Related Items (8)

Lattice of tripotents in a \(\text{JBW}^*\)-triple ⋮ Horofunction compactifications of symmetric cones under Finsler distances ⋮ Horofunction compactifications and duality ⋮ Bibliography on quantum logics and related structures ⋮ On the facial structure of the unit ball of a GM-space ⋮ Local facial structure and norm-exposed faces of the unit ball in a \(\mathrm{JB}^\ast\)-triple ⋮ Inner ideals and facial structure of the quasi-state space of a JB-algebra ⋮ Unnamed Item

Cites Work

• Cônes autopolaires et algèbres de Jordan
• On normed Jordan algebras which are Banach dual spaces
• A Gelfand-Neumark theorem for Jordan algebras
• On an algebraic generalization of the quantum mechanical formalism
• The ideal center of partially ordered vector spaces
• Order ideals in a \(C^*\)-algebra and its dual
• Ideal Theory in JB-Algebras
• On the Facial Structure of a JB-Algebra
• On Non-Commutative Spectral Theory and Jordan Algebras
• Linear Operators in Partially Ordered Normed Vector Spaces
• The Duality of Partially Ordered Banach Spaces

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