Operator differentiable functions

DOI10.1007/BF01210398zbMath0731.46033OpenAlexW1998765818MaRDI QIDQ5896580

Yaakov Friedman, T. J. Barton, Jonathan Arazy

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1007/bf01210398

zbMATH Keywords

perturbationdifferentiationoperator functionsdouble operator integral\(JB^ *\)-triplesjoint Peirce decompositionoperator differentiablestrongly continuous one-parameter group of *-automorphisms of a \(C^ *\)-algebra

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) General theory of (C^*)-algebras (46L05) Automorphisms of selfadjoint operator algebras (46L40)

Related Items (12)

Differentiation of operator functions in non-commutative \(L_{p}\)-spaces ⋮ Operator differentiable functions and derivations of operator algebras ⋮ Lipschitz estimates in quasi-Banach Schatten ideals ⋮ Lipschitz functions, Schatten ideals, and unbounded derivations ⋮ Interpolation by the Derivatives of Operator Lipschitz Functions ⋮ HIGHER ORDER DIFFERENTIABILITY OF OPERATOR FUNCTIONS IN SCHATTEN NORMS ⋮ Operator Lipschitz functions and model spaces ⋮ Operator Hölder-Zygmund functions ⋮ Multiple operator integrals and higher operator derivatives ⋮ An extension of the Koplienko--Neidhardt trace formulae ⋮ A Dixmier trace formula for the density of states ⋮ A quantum extended Kalman filter

Cites Work

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• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Derivations, dissipations and group actions on \(C^ *\)-algebras
• Relative Hermitian matrices
• An estimate of the norm |f(B)-f(A)| for self-adjoint operators A and B
• Example of a Lipschitz function of self-adjoint operators that gives a nonnuclear increment under a nuclear perturbation
• Relative self-adjoint operators in Hilbert space

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