Means and concave products of positive semi-definite matrices

DOI10.1007/BF01458054zbMath0495.47021OpenAlexW2028575024MaRDI QIDQ1169665

Frank Hansen

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163774

zbMATH Keywords

concavityharmonic meanbinary operation for positive semi-definite matricesconcave products of positive semi-definite matricesconnection in the sense of Kubo and Andosuper additive

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60)

Related Items (8)

Loewner's theorem in several variables ⋮ Regular operator mappings and multivariate geometric means ⋮ In-betweenness, a geometrical monotonicity property for operator means ⋮ Multidimensional Jensen's operator on a Hilbert space and applications ⋮ Inequalities for the Wasserstein mean of positive definite matrices ⋮ Hermitian semidefinite matrix means and related matrix inequalities—an introduction ⋮ Unnamed Item ⋮ Some operator convex functions of several variables

Cites Work

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• Über monotone Matrixfunktionen
• Series and parallel addition of matrices
• Remarks on two theorems of E. Lieb
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
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• Shorted Operators. II
• Monotone and Convex Operator Functions
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