On the completely positive and positive-semidefinite-preserving cones

DOI10.1016/0024-3795(84)90127-7zbMath0534.15012OpenAlexW2078086515MaRDI QIDQ790207

Richard D. Hill, Raymond D. Haertel, George Phillip Barker

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0024-3795(84)90127-7

zbMATH Keywords

completely positivehermitian- preservingjoint angular field of valuesleft and right facial idealspositive-semidefinite-preserving cones

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items

On a lattice of Hermitian-preserving cones., Hermitian and nonnegativity preserving subspaces, Commutativity-preserving and normal-preserving linear transformations on, Matricial inner products and pointed cones of Hermitian-preserving linear transformations, The cone of distance matrices, The equality of the Siler cones \(K_3\) and \(K_4\), the general case, Chapter 3:inertia preservers, Applications of the Joint Angular Field of Values, On the completely positive and positive semidefinite-preserving cones. III., Order intervals of matrices, On the cone of completely positive linear transformations, Normal-preserving linear transformations, Special classes of positive and completely positive maps, FACIAL STRUCTURES FOR VARIOUS NOTIONS OF POSITIVITY AND APPLICATIONS TO THE THEORY OF ENTANGLEMENT, Reflectors on vector spaces, Extremals and exposed faces of the cone of positive maps, On the cone of positive semidefinite matrices, On completely copositive and decomposable linear transformations, On dissipative matrices, On the matrix reorderings \(\Gamma\) and \(\Psi\), On Birkhoff's theorem for doubly stochastic completely positive maps of matrix algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Completely positive and Hermitian-preserving linear transformations
• On the semiring of cone preserving maps
• The structure of cones of matrices
• Completely positive linear maps on complex matrices
• Cones of diagonally dominant matrices
• Linear transformations which preserve Hermitian and positive semidefinite operators
• Some results of polyhedral cones and simplicial cones
• Positive Linear Maps on C^*-Algebras
• Some convexity theorems for matrices