Spectral analysis of differential operators with unbounded operator coefficients in weighted spaces of functions

DOI10.1134/S0001434614010027zbMath1393.47017MaRDI QIDQ2341953

M. S. Bichegkuev

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

exponential dichotomyBanach spacedifferential operatorevolution operatorspectral properties of operatorsweighted spaces of functionsHowland difference operatorspectrum mapping theorem

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (5)

Spectral analysis of operator polynomials and higher-order difference operators ⋮ The matrix analysis of spectral projections for the perturbed self-adjoint operators ⋮ Spectral properties of the operators \(AB\) and \(BA\) ⋮ On invertibility states of differential and difference operators ⋮ Well-posed boundary-value problems, right hyperbolicity, and exponential dichotomy

Cites Work

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• Semigroups of difference operators in spectral analysis of linear differential operators
• On conditions for invertibility of difference and differential operators in weight spaces
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations
• On correct linear differential operators
• Representation theory for Banach algebras, Abelian groups, and semigroups in the spectral analysis of linear operators
• Spectral analysis of difference and differential operators in weighted spaces

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