Functions of perturbed tuples of self-adjoint operators

DOI10.1016/j.crma.2012.04.010zbMath1248.47007arXiv1204.5134OpenAlexW2964118616MaRDI QIDQ424739

Vladimir V. Peller, F. L. Nazarov

Publication date: 4 June 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.5134

zbMATH Keywords

double operator integraloperator norm estimatesperturbed tuples of commuting self-adjoint operatorsSchatten-von Neumann norm estimates

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Perturbation theory of linear operators (47A55) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items

Operator Lipschitz functions in several variables and Möbius transformations, Functions of perturbed \(n\)-tuples of commuting self-adjoint operators

Cites Work

• Functions of normal operators under perturbations
• Functions of operators under perturbations of class \(S_p\)
• Operator Hölder-Zygmund functions
• Functions of perturbed normal operators
• Functions of perturbed operators
• Hankel operators in the perturbation theory of unitary and self-adjoint operators
• Functions of perturbed unbounded self-adjoint operators. Operator Bernstein type inequalities
• Schrödinger operator. Estimates for number of bound states as function-theoretical problem
• Operator smoothness in Schatten norms for functions of several variables: Lipschitz conditions, differentiability and unbounded derivations
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