A note on Riesz bases of eigenvectors for a class of nonanalytic operator functions

DOI10.1216/RMJM/1181069463zbMath1182.47015OpenAlexW2133255710MaRDI QIDQ2477834

Yanyan Li

Publication date: 14 March 2008

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1181069463

zbMATH Keywords

Riesz basiseigenvectorsoperator functionsspectral distribution function

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (2)

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

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