Symmetry versus facial homogeneity for self-dual cones

DOI10.1016/0024-3795(90)90257-DzbMath0713.15007MaRDI QIDQ749622

N. Dz. Yadgorov, Shavkat A. Ayupov, Bruno Iochum

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

facial homogeneitylattice of facesselfdual cone

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Ordered topological linear spaces, vector lattices (46A40) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

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• Cônes autopolaires et algèbres de Jordan
• On a characterization of the state space of quantum mechanics
• State space of C*-algebras
• Modular face lattices: Low dimensional cases
• Perfect cones
• State spaces of Jordan algebras
• Normal state spaces of Jordan and von Neumann algebras
• Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
• On the algebraic structure of quantum mechanics
• Theory of filters
• Bemerkungen zum Begriffsbild der Quantenphysik

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