BOUNDS FOR THE SPECTRUM OF ANALYTIC QUASINORMAL OPERATOR PENCILS

DOI10.1142/S0219199703000902zbMath1033.47015OpenAlexW2059396543MaRDI QIDQ4807716

Michael I. Gil'

Publication date: 14 July 2003

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219199703000902

zbMATH Keywords

spectrumdifferential operatorsintegral operatorslinear operatorsinfinite matricespencils

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Eigenvalue problems for linear operators (47A75) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Integral operators (47G10) Integro-differential operators (47G20)

Related Items (6)

Perturbations of polynomials with operator coefficients ⋮ On bounds for spectra of operator pencils in a Hilbert space ⋮ Sums of characteristic values of compact polynomial operator pencils ⋮ Norm estimate for the inverse of a linear pencil with Hilbert–Schmidt operators ⋮ Conservation of the numbers of characteristic values of polynomial and entire matrix pencils inside and outside a circle under perturbations ⋮ On inequalities for eigenvalues of 2 × 2 matrices with Schatten–von Neumann entries

Cites Work

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• Invertibility conditions and bounds for spectra of matrix integral operators
• Stability of Fredholm type integro-parabolic equations
• Pseudodifferential Operators and Linear Connections
• Invertibility and positive invertibility of integral operators in \(L^\infty\)

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