Positive groups on \(\mathcal H^n\) are completely positive

DOI10.1016/j.laa.2003.12.045zbMath1073.47044OpenAlexW2049125684MaRDI QIDQ703625

Tobias Damm

Publication date: 11 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.12.045

zbMATH Keywords

resolvent positive operatorsLyapunov operatorpositive groupscompletely positive operatorscone of positive definite matricesexponentially positive operators

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Groups and semigroups of linear operators (47D03) Positive linear operators and order-bounded operators (47B65)

Related Items (12)

Positive operators and stable truncation ⋮ Completely mixed linear games on a self-dual cone ⋮ Affine processes on symmetric cones ⋮ Unnamed Item ⋮ More results on column sufficiency property in Euclidean Jordan algebras ⋮ The automorphism group of a completely positive cone and its Lie algebra ⋮ On the bilinearity rank of a proper cone and Lyapunov-like transformations ⋮ On the game-theoretic value of a linear transformation relative to a self-dual cone ⋮ A REPRESENTATION THEOREM FOR LYAPUNOV-LIKE TRANSFORMATIONS ON EUCLIDEAN JORDAN ALGEBRAS ⋮ Z-transformations on proper and symmetric cones ⋮ Some inertia theorems in Euclidean Jordan algebras ⋮ Exotic one-parameter semigroups of endomorphisms of a symmetric cone

Cites Work

• Generalized Choi maps in three-dimensional matrix algebra
• Positive semidefinite biquadratic forms
• On the generators of quantum dynamical semigroups
• Quasimonotonie und Ungleichungen in halbgeordneten Räumen
• Cross-positive matrices revisited
• Cross-Positive Matrices
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