Complementation in the face lattice of a proper cone

DOI10.1016/0024-3795(86)90299-5zbMath0594.06006OpenAlexW1997231306MaRDI QIDQ1076701

Bit-Shun Tam, Raphael Loewy

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0024-3795(86)90299-5

zbMATH Keywords

conelattice of facesrelatively complementedsection complemented

Mathematics Subject Classification ID

Semimodular lattices, geometric lattices (06C10) Complemented lattices, orthocomplemented lattices and posets (06C15) Polytopes and polyhedra (52Bxx)

Related Items (8)

Baer semirings and Baer \(*\)-semirings of cone-preserving maps ⋮ Graphs and irreducible cone preserving maps ⋮ A variational principle for ground spaces ⋮ On the structure of the cone of positive operators ⋮ Classification of joint numerical ranges of three Hermitian matrices of size three ⋮ Quantum convex support ⋮ Operator systems and convex sets with many normal cones ⋮ A study of projectionally exposed cones

Cites Work

• On the duality operator of a convex cone
• Theory of cones
• Algebraic Perron-Frobenius theory
• Indecomposable cones
• On the cone of a finite dimensional compact convex set at a point
• A k-extreme point is the limit of k-exposed points
• The lattice of faces of a finite dimensional cone
• Faces and duality in convex cones
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