Operator Lipschitz estimates in the unitary setting

DOI10.1090/PROC/12833zbMath1337.47017OpenAlexW1846865172MaRDI QIDQ2790182

P. J. Ayre, Pheodor A. Sukochev, Michael G. Cowling

Publication date: 3 March 2016

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

Full work available at URL: https://doi.org/10.1090/proc/12833

zbMATH Keywords

unitary operatorsLipschitz estimates

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Perturbation theory of linear operators (47A55)

Related Items (7)

Multilinear Schur multipliers and Schatten properties of operator Taylor remainders ⋮ Lipschitz-type bounds for functions of operators with noncompact perturbations ⋮ A functional calculus of closed operators on Banach space. III: Certain topics of perturbation theory ⋮ Lipschitz estimates for functions of Dirac and Schrödinger operators ⋮ ADJOINT AND UNITARY OPERATORS ON HILBERT SPACES ⋮ Peller's problem concerning Koplienko-Neidhardt trace formulae: the unitary case ⋮ A Dixmier trace formula for the density of states

Cites Work

• Operator-Lipschitz functions in Schatten-von Neumann classes
• The best constants for operator Lipschitz functions on Schatten classes
• Operator smoothness in Schatten norms for functions of several variables: Lipschitz conditions, differentiability and unbounded derivations
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