Norm estimate for the inverse of a linear pencil with Hilbert–Schmidt operators

DOI10.1080/00036811.2014.898271zbMath1309.47013OpenAlexW2038034049WikidataQ58178577 ScholiaQ58178577MaRDI QIDQ5175349

Michael I. Gil'

Publication date: 20 February 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.898271

zbMATH Keywords

inverse operatorspectrumlinear operator pencil

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Cites Work

• Fold completeness of a system of root vectors of a system of unbounded polynomial operator pencils in Banach spaces. I: Abstract theory
• Estimates of the discrete spectrum of a linear operator pencil
• Banach algebras associated with linear operator pencils
• On bounds for spectra of operator pencils in a Hilbert space
• Operator functions and localization of spectra
• Linear operator pencils \(A-\lambda B\) with discrete spectrum
• An approximation method in the variational theory of the spectrum of operator pencils
• Sums of characteristic values of compact polynomial operator pencils
• Spectral analysis for one class of second-order indefinite non-self-adjoint differential operator pencil
• Linear operator pencils on Lie algebras and Laurent biorthogonal polynomials
• Spectral Properties, Including Spectral Singularities, of a Quadratic Pencil of Schrödinger Operators on the Whole Real Axis
• BOUNDS FOR THE SPECTRUM OF ANALYTIC QUASINORMAL OPERATOR PENCILS
• Spectral Analysis for Linear Pencils N — λP of Ordinary Differential Operators

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