Operator log-convex functions and operator means
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Publication:634802
DOI10.1007/s00208-010-0577-4zbMath1221.47028arXiv0911.5267OpenAlexW2013452791MaRDI QIDQ634802
Publication date: 16 August 2011
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.5267
operator meansoperator log-concave functionsoperator log-convex functionsoperator monotone decreasing
Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)
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Cites Work
- Riemannian geometry and matrix geometric means
- Eigenvalue inequalities for convex and log-convex functions
- Jensen's inequality for operators and Loewner's theorem
- Functional calculus for sesquilinear forms and the purification map
- Geometric means
- Über monotone Matrixfunktionen
- Extensions of Lieb's concavity theorem
- Operator monotone functions, positive definite kernels and majorization
- Trace functions as Laplace transforms
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