Modulus of continuity of operator functions

DOI10.1090/S1061-0022-09-01058-9zbMath1207.47016OpenAlexW2092511729MaRDI QIDQ3079260

L. N. Nikol'skaya, Yuliya B. Farforovskaya

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-09-01058-9

zbMATH Keywords

modulus of continuityselfadjoint operatoroperator function

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Functional calculus for linear operators (47A60) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (11)

Lipschitz type inequalities for noncommutative perspectives of operator monotone functions in Hilbert spaces ⋮ Second derivative Lipschitz type inequalities for an integral transform of positive operators in Hilbert spaces ⋮ Necessary and sufficient conditions for the finiteness of the second moment of the measure of level sets ⋮ Unnamed Item ⋮ Integral inequalities of the Hermite-Hadamard type for \(K\)-bounded norm-convex mappings ⋮ Vector norm inequalities for power series of operators in Hilbert spaces ⋮ Hölder functions are operator-Hölder ⋮ Operator Hölder-Zygmund functions ⋮ Operator-Lipschitz estimates for the singular value functional calculus ⋮ Functions of perturbed operators ⋮ LIPSCHITZ-TYPE INEQUALITIES FOR ANALYTIC FUNCTIONS IN BANACH ALGEBRAS

Cites Work

• Schur multipliers
• Double operator integrals and their estimates in the uniform norm
• Monotone Funktionen, Stieltjessche Integrale und harmonische Analyse
• Multiple operator integrals and higher operator derivatives
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