Integral representation formula for generalized normal derivations

DOI10.1090/S0002-9939-99-04802-9zbMath0918.47009OpenAlexW1606053063MaRDI QIDQ4243713

Danko R. Jocić

Publication date: 19 May 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-04802-9

zbMATH Keywords

monotone matrix functionsnorm inequalitiestrace inequalitiesunitarily invariant normsdouble operator integralsFuglede-Putnam theoremLipschitz class functioncommutativity modulo Hilbert-Schmidt classcovariance matrices of Muir and WongHilbert-Schmidt class operatorKy-Fan dominance propertyspace of all bounded Hilbert space operators

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Commutators, derivations, elementary operators, etc. (47B47) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items (5)

On a problem of J. P. Williams ⋮ Almost \(\alpha\)-hyponormal operators with Weyl spectrum of area zero ⋮ Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators ⋮ $(\mathcal {C}_{p}, \alpha )$-hyponormal operators and trace-class self-commutators with trace zero ⋮ Commutator inequalities for the Hilbert-Schmidt norm

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