Operator Functions and Operator Equations

DOI10.1142/10482zbMath1422.47004OpenAlexW2591280218MaRDI QIDQ5370523

Michael I. Gil'

Publication date: 20 October 2017

Full work available at URL: https://doi.org/10.1142/10482

zbMATH Keywords

resolventspectrumoperator functionnon-selfadjoint operatordiagonalizable operatorgeneralized polynomial equationtriangular representationSchatten-von Neumann operatorconditional numbersSilvester's equation

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Functional calculus for linear operators (47A60) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Equations involving linear operators, with operator unknowns (47A62) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items (17)

On matching distance between eigenvalues of unbounded operators ⋮ Inequalities for imaginary parts of eigenvalues of Schatten-von Neumann operators ⋮ Exponential stability conditions for non-autonomous differential equations with unbounded commutators in a Banach space ⋮ An inequality for imaginary parts of eigenvalues of non-compact operators with Hilbert-Schmidt Hermitian components ⋮ Variations of real and imaginary parts of eigenvalues of compact operators under perturbations ⋮ On location of spectra of unbounded operators in the right half-plane ⋮ Perturbation bounds for matrix functions ⋮ On angular localization of spectra of perturbed operators ⋮ Solution estimates for semilinear non-autonomous evolution equations with differentiable linear parts ⋮ Solution estimates for the discrete Lyapunov equation in a Hilbert space and applications to difference equations ⋮ Conservation of the numbers of characteristic values of polynomial and entire matrix pencils inside and outside a circle under perturbations ⋮ On location in a half-plane of zeros of perturbed first order entire functions ⋮ Spectrum perturbations of linear operators in a Banach space ⋮ Perturbations of operator functions: a survey ⋮ An estimate for the number of eigenvalues of a Hilbert-Schmidt operator in a half-plane ⋮ Spectrum localization of a perturbed operator in a strip and applications ⋮ AN UNBOUNDED OPERATOR WITH SPECTRUM IN A STRIP AND MATRIX DIFFERENTIAL OPERATORS

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