Operator Lipschitz functions on Banach spaces

DOI10.4064/sm8499-3-2016zbMath1372.47022arXiv1501.03267OpenAlexW3104547981MaRDI QIDQ2804309

Jan Rozendaal, Anna Tomskova, Pheodor A. Sukochev

Publication date: 28 April 2016

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03267

zbMATH Keywords

operator idealdouble operator integraloperator Lipschitz functiondiagonalizable operator

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (2)

Bernstein functions of several semigroup generators on Banach spaces under bounded perturbations, II ⋮ A functional calculus of closed operators on Banach space. III: Certain topics of perturbation theory

Cites Work

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• Weaker relatives of the bounded approximation property for a Banach operator ideal
• Operator-Lipschitz functions in Schatten-von Neumann classes
• On the Arazy conjecture concerning Schur multipliers on Schatten ideals
• Functions of normal operators under perturbations
• Schur multipliers
• Unitarily invariant norms under which the map \(A\to| A|\) is Lipschitz continuous
• Lipschitz continuity of the absolute value and Riesz projections in symmetric operator spaces
• Double operator integrals in a Hilbert space
• Double operator integrals
• On weakly compact operators
• Differentiation of operator functions in non-commutative \(L_{p}\)-spaces
• Multiple operator integrals and higher operator derivatives
• Double Operator Integrals and Submajorization
• Operator Integrals, Spectral Shift, and Spectral Flow
• Lipschitz Continuity of Functions of Operators in the Schatten Classes
• Continuity of the map $S \to \left| S \right|$ for linear operators
• Unconditional convergence and almost everywhere convergence
• The main triangle projection in matrix spaces and its applications
• Counterexample to a Question on Commutators

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