Completeness of root vectors of a Keldysh pencil perturbed by an analytic operator-valued function \(s(\lambda)\) with \(S(\infty)=0\)

DOI10.1007/BF01106747zbMath0402.47013MaRDI QIDQ1255677

G. V. Radzievskij

Publication date: 1977

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

zbMATH Keywords

Completeness of the Root VectorsOperator Pencils

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (4)

Investigation of the spectrum of the problem of normal waves in a closed regular inhomogeneous dielectric waveguide of arbitrary cross section ⋮ Operator function method in the problem of normal waves in an inhomogeneous waveguide ⋮ Eigenwaves in a lossy metal-dielectric waveguide ⋮ Multiple minimality of the root vectors of a polynomial operator pencil perturbed by an analytic outside a disc operator-function S(\(\gamma\) ) with \(S(\infty)=0\)

Cites Work

• Nonlinear eigenvalue problems
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