On the semiring of cone preserving maps

DOI10.1016/0024-3795(81)90267-6zbMath0454.16025OpenAlexW2002742293MaRDI QIDQ1149500

Bit-Shun Tam

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90267-6

zbMATH Keywords

conepolyhedral conelinear operatorssemiringsminimal idealfinite-dimensional real vector spacefacesemiring

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Semirings (16Y60) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (12)

Baer semirings and Baer \(*\)-semirings of cone-preserving maps ⋮ Almost-periodic functions, compactifications, and faces of finite- dimensional cones ⋮ Chapter 9: miscellaneous preserver problems ⋮ Generalized inverses of cone preserving maps ⋮ Theory of cones ⋮ Order intervals of matrices ⋮ On the cone of completely positive linear transformations ⋮ On the structure of the cone of positive operators ⋮ Extremals and exposed faces of the cone of positive maps ⋮ On the cone of positive semidefinite matrices ⋮ On the completely positive and positive-semidefinite-preserving cones ⋮ On the duality operator of a convex cone

Cites Work

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• Positive operators on the \(n\)-dimensional ice cream cone
• Algebraic Perron-Frobenius theory
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• Indecomposable cones
• On extreme matrices and extreme vectors of cones in \(R^n\)
• Extreme operators on polyhedral cones
• On ideals of cone preserving maps
• On indecomposable subcones
• Perfect cones
• On the automorphism group of a cone
• Linear transformations of tensor products preserving a fixed rank
• The lattice of faces of a finite dimensional cone
• Cones, matrices and mathematical programming
• Some results of polyhedral cones and simplicial cones
• Diagonals of convex sets
• Faces and duality in convex cones
• Cross-Positive Matrices

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