Strong monotonicity of operator functions

DOI10.1007/BF01673625zbMath0977.47013MaRDI QIDQ5926417

Mitsuru Uchiyama

Publication date: 17 January 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

bounded selfadjoint operatorsmaximum subspacestrong convexity of operator functionsstrong monotonicity

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Invariant subspaces of linear operators (47A15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68)

Related Items

Inequality between unitary orbits ⋮ A characterization of convex functions and its application to operator monotone functions

Cites Work

• The equivalence of two partial orders on a convex cone of positive semidefinite matrices
• Über monotone Matrixfunktionen
• Beiträge zur Störungstheorie der Spektralzerlegung
• Approximate Proper Vectors
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