On the spectral properties of differential operators with unbounded operator coefficients determined by a linear relation

DOI10.1134/S0001434611010287zbMath1239.47039MaRDI QIDQ650414

V. B. Didenko

Publication date: 25 November 2011

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

zbMATH Keywords

Banach algebraFredholm propertyresolvent setBanach spaceinvertibilityevolution operatorlinear relationFredholm relation

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Linear relations (multivalued linear operators) (47A06) Local spectral properties of linear operators (47A11) General first-order partial differential equations and systems of first-order partial differential equations (35F99)

Related Items (7)

Spectral properties of the operators \(AB\) and \(BA\) ⋮ On invertibility states of differential and difference operators ⋮ Invertibility of linear relations generated by integral equation with operator measures ⋮ On the continuous invertibility and the Fredholm property of differential operators with multi-valued impulse effects ⋮ Analysis of linear differential equations by methods of the spectral theory of difference operators and linear relations ⋮ Dissipative extensions of a symmetric relation generated by a system of integral equations with operator measures ⋮ Spectral analysis of differential operators with unbounded periodic coefficients

Cites Work

• Unnamed Item
• Discrete and continuous boundary problems
• Spectral analysis of differential operators with unbounded operator-valued coefficients, difference relations and semigroups of difference relations
• Spectral analysis of linear relations and degenerate operator semigroups

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