A class of nonlinear equations in Hilbert space and its application to completeness problems

DOI10.1016/J.JMAA.2006.06.017zbMath1115.47015OpenAlexW2078784171MaRDI QIDQ864661

N. E. Zubov

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.06.017

zbMATH Keywords

resolventeigenvalueseigenvectorsmatrix penciloperator functions

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) 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)

Related Items (3)

On the completeness of root vectors generated by systems of coupled hyperbolic equations ⋮ On the completeness of root vectors of a certain class of differential operators ⋮ Basis problems for matrix valued functions

Cites Work

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• Principal part of resolvent and factorization of an increasing nonanalytic operator-function
• Conditions for eigenvectors of a selfadjoint operator-function to form a basis
• An approximation method in the variational theory of the spectrum of operator pencils
• On basis properties of selfadjoint operator functions
• Factorization of a selfadjoint nonanalytic operator function. II: Single spectral zone
• A note on Riesz bases of eigenvectors for a class of nonanalytic operator functions

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