Spectral value sets of closed linear operators

DOI10.1098/rspa.2000.0568zbMath0982.47007OpenAlexW2131377323MaRDI QIDQ2713408

E. Gallestey, Anthony J. Pritchard, Diederich Hinrichsen

Publication date: 8 April 2002

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2000.0568

zbMATH Keywords

spectrumpseudospectraclosed linear operatorunbounded perturbationaffine perturbationspectral perturbationsmatrix casespectral value setsdelay system with uncertain parameterspartial differential equation with a perturbed boundary condition

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Spectral sets of linear operators (47A25)

Related Items (12)

On large Toeplitz band matrices with an uncertain block ⋮ Infinite Toeplitz and Laurent matrices with localized impurities ⋮ Pseudospectra and stability radii for analytic matrix functions with application to time-delay systems ⋮ LEVEL SETS OF THE RESOLVENT NORM OF A LINEAR OPERATOR REVISITED ⋮ Infinite-dimensional features of matrices and pseudospectra ⋮ Structured pseudospectra and structured sensitivity of eigenvalues ⋮ Non-coercive Lyapunov functions for infinite-dimensional systems ⋮ Real stability radii of linear time-invariant time-delay systems ⋮ Spectral approximation of banded Laurent matrices with localized random perturbations ⋮ Integral criteria for the quality of the dichotomy of a matrix spectrum by a closed contour ⋮ Continuity of the \((n,\varepsilon)\)-pseudospectrum in Banach algebras ⋮ Can spectral value sets of Toeplitz band matrices jump?

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