Conditions for eigenvectors of a selfadjoint operator-function to form a basis

DOI10.1007/BF01200296zbMath0799.47005MaRDI QIDQ1316485

Efim Spigel, Vladimir Matsaev

Publication date: 17 November 1994

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

unconditional basisabsolutely convergent Fourier integraleigenvectors of the operator- function

Mathematics Subject Classification ID

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 (4)

A class of nonlinear equations in Hilbert space and its application to completeness problems ⋮ A note on Riesz bases of eigenvectors for a class of nonanalytic operator functions ⋮ Basis problems for matrix valued functions ⋮ On a nonlinear eigenvalue problem

Cites Work

• Principal part of resolvent and factorization of an increasing nonanalytic operator-function
• Factorization of a selfadjoint nonanalytic operator function. II: Single spectral zone
• Unnamed Item

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