Operator functions and localization of spectra

DOI10.1007/b93845zbMath1032.47001OpenAlexW4256173593MaRDI QIDQ1414910

Publication date: 2 December 2003

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b93845

zbMATH Keywords

resolvent spectral radius invertibility infinite matrices entire functions of finite order operator-valued functions spectrum localisation linear operators in Hilbert spaces von Neumann-Schatten ideals

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Integral operators (45P05) Research exposition (monographs, survey articles) pertaining to operator theory (47-02)

Related Items

Bounds for the spectrum of a two parameter matrix eigenvalue problem ⋮ Circuit complexity for coherent states ⋮ Stability of sums of operators ⋮ Matrix functions nonregular on the convex hull of the spectrum ⋮ Scaled generalized Bernstein polynomials and containment regions for the zeros of polynomials ⋮ Bounds for characteristic values of entire matrix pencils ⋮ Simple eigenvectors of unbounded operators of the type "normal plus compact" ⋮ Mixed order fractional differential equations ⋮ Discrete spectra of compactly perturbed bounded operators ⋮ Norm estimates for functions of a Hilbert-Schmidt operator nonregular on the convex hull of the spectrum ⋮ On stability of vector nonlinear integrodifferential equations ⋮ Weyl's law for the eigenvalues of the Neumann-Poincaré operators in three dimensions: Willmore energy and surface geometry ⋮ A new identity for resolvents of operators ⋮ Perturbations of polynomials with operator coefficients ⋮ The excitation spectrum for weakly interacting Bosons in a trap ⋮ On stability of linear barbashin type integrodifferential equations ⋮ Some notes about the continuous-in-time financial model ⋮ A BOUND FOR SIMILARITY CONDITION NUMBERS OF UNBOUNDED OPERATORS WITH HILBERT–SCHMIDT HERMITIAN COMPONENTS ⋮ Bounds and positivity conditions for operator valued functions in a Hilbert lattice ⋮ The freezing method for abstract nonlinear difference equations ⋮ Norm estimates for functions of non-selfadjoint operators nonregular on the convex hull of the spectrum ⋮ A bound for the Hilbert-Schmidt norm of generalized commutators of nonself-adjoint operators ⋮ The foundations of spectral computations via the solvability complexity index hierarchy ⋮ Perturbations of invariant subspaces of operators with Hilbert-Schmidt Hermitian components ⋮ Asymptotic behaviour of the non-real pair-eigenvalues of a two parameter eigenvalue problem ⋮ Estimates for functions of two commuting infinite matrices and applications ⋮ Spectral approximations of unbounded nonselfadjoint operators ⋮ Integrally small perturbations of linear nonautonomous systems ⋮ Quaternionic triangular linear operators ⋮ Inequalities for Solutions of Linear Differential Equations in a Banach Space and Integro–Differential Equations ⋮ A sharp bound for the Frobenius norm of self-commutators of matrices ⋮ Norm estimates for functions of two operators on tensor products of Hilbert spaces ⋮ INEQUALITIES OF THE CARLEMAN TYPE FOR SCHATTEN-VON NEUMANN OPERATORS ⋮ Bounds for the spectrum of a matrix differential operator with a damping term ⋮ Estimates for resolvents and functions of operator pencils on tensor products of Hilbert spaces ⋮ The spectra of two-parameter quadratic operator pencils ⋮ Localization and perturbations of roots to systems of polynomial equations ⋮ Bounds for eigenvalues of Schatten-von Neumann operators via self-commutators ⋮ Persistence of exponential decay and spectral gaps for interacting fermions ⋮ Spectral approximations of unbounded operators of the type ``normal plus compact ⋮ Explicit upper bounds for the spectral distance of two trace class operators ⋮ Semigroups of sums of two operators with small commutators ⋮ Quantitative spectral perturbation theory for compact operators on a Hilbert space ⋮ Superresolution in Recovering Embedded Electromagnetic Sources in High Contrast Media ⋮ Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ Delay difference equations in Banach spaces ⋮ Norm estimates for functions of two non-commuting operators ⋮ Bounds for zeros of entire functions ⋮ Localization and perturbation of complex zeros of solutions to second order differential equations with polynomial coefficients. A survey ⋮ Identities for sums of characteristic values of entire matrix pencils ⋮ SIMILARITY OF OPERATORS ON TENSOR PRODUCTS OF SPACES AND MATRIX DIFFERENTIAL OPERATORS ⋮ On some eigenvalue inequalities for Schatten-von Neumann operators ⋮ Estimates for solutions of differential equations in a Banach space via commutators ⋮ Sums of characteristic values of compact polynomial operator pencils ⋮ Decay properties for functions of matrices over \(C^\ast\)-algebras ⋮ Solution estimates for semilinear difference-delay equations with continuous time ⋮ Some new results on determinantal inequalities and applications ⋮ Resolvents of operators inverse to Schatten-von Neumann ones ⋮ Perturbations of functions of operators in a Banach space ⋮ Norm estimate for the inverse of a linear pencil with Hilbert–Schmidt operators ⋮ Output feedback control of discrete linear repetitive processes ⋮ Periodic solutions of nonlinear vector difference equations ⋮ Stability of abstract nonlinear nonautonomous differential--delay equations with unbounded history-responsive operators ⋮ Norm estimates for functions of matrices with simple spectrum ⋮ A new inequality for the Hausdorff distance between spectra of two matrices ⋮ Norm estimates for resolvents of linear operators in a Banach space and spectral variations ⋮ Stability and boundedness of solutions to nonautonomous parabolic integrodifferential equations ⋮ Unnamed Item ⋮ Resolvents of operators on tensor products of Euclidean spaces ⋮ Green's function of the problem of bounded solutions in the case of a block triangular coefficient ⋮ Norm estimates for a semigroup generated by the sum of two operators with an unbounded commutator ⋮ Modal approximation for strictly convex plasmonic resonators in the time domain: the Maxwell's equations ⋮ Estimates for the Green functions of nonautonomous higher order differential equations ⋮ POSITIVITY OF GREEN'S FUNCTIONS TO VOLTERRA INTEGRAL AND HIGHER ORDER INTEGRO-DIFFERENTIAL EQUATIONS ⋮ On inequalities for eigenvalues of 2 × 2 matrices with Schatten–von Neumann entries ⋮ Estimates for entries of matrix valued functions of infinite matrices ⋮ Spectrum perturbations of linear operators in a Banach space ⋮ Perturbations of operator functions: a survey ⋮ On variations of characteristic values of entire matrix pencils ⋮ Norm estimates for solutions of polynomial operator equations ⋮ Blaschke-type conditions on unbounded domains, generalized convexity, and applications in perturbation theory ⋮ Unnamed Item ⋮ An estimate for the resolvent of a non-self-adjoint differential operator on the half-line ⋮ Aspects of the first law of complexity ⋮ The \(L^p\)-version of the generalized Bohl-Perron principle for neutral type functional differential equations

This page was built for publication: Operator functions and localization of spectra