Property of the eigenvectors of quadratic operator pencils of being a basis

DOI10.1007/BF01141624zbMath0493.47012MaRDI QIDQ1168571

A. A. Shkalikov

Publication date: 1981

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

zbMATH Keywords

Riesz basisquadratic operator pencilsselfadjoint compact operatorssimple eigenvaluespencil of ordinary differential operatorsassociative vectors

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) General theory of ordinary differential operators (47E05) Structure theory of linear operators (47A65)

Related Items (3)

Boundary problems for ordinary differential equations with parameter in the boundary conditions ⋮ Elliptic equations in Hilbert space and associated spectral problems ⋮ Reconstruction of pencils of differential operators on the half-line

Cites Work

• Power completeness of the system of elementary solutions of a differential equation in Hilbert space
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