A note on Riesz bases of eigenvectors of certain holomorphic operator-functions

DOI10.1006/jmaa.2000.7154zbMath0972.47011OpenAlexW2056219431MaRDI QIDQ5929385

Joseph P. Lutgen

Publication date: 2 November 2001

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7154

zbMATH Keywords

Riesz basiseigenvaluesorthogonalizerresolvent setRouché's theorem

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) 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) Summability and bases in topological vector spaces (46A35)

Related Items (4)

Numerical approximation of characteristic values of partial retarded functional differential equations ⋮ Riesz basis property of mode shapes for aircraft wing model (subsonic case) ⋮ On essential spectra of operator-matrices and their Feshbach maps. ⋮ Numerical investigation of aeroelastic mode distribution for aircraft wing model in subsonic air flow

Cites Work

• Eine neue Methode zur Behandlung nichtlinearer Eigenwertaufgaben
• Classes of linear operators. Vol. I
• Equivalence, linearization, and decomposition of holomorphic operator functions
• Accumulation of discrete eigenvalues of the radial Dirac operator
• Eigenvalue accumulation for singular Sturm-Liouville problems nonlinear in the spectral parameter
• A nonlinear eigenvalue problem. II
• Some variational principles for a nonlinear eigenvalue problem
• Nonlinear eigenvalue problems
• The spectrum and eigenspaces of a meromorphic operator-valued function
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
• Note on a Nonlinear Eigenvalue Problem
• On a nonlinear eigenvalue problem
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