Compact perturbation of definite type spectra of self-adjoint quadratic operator pencils.

DOI10.1007/BF01195813zbMath1062.47509WikidataQ124629912 ScholiaQ124629912MaRDI QIDQ5931973

Heinz K. Langer, Vadim Adamjan, Manfred Möller

Publication date: 2001

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

zbMATH Keywords

selfadjoint quadratic pencil of operatorsspectral perturbationspectral points

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) General theory of partial differential operators (47F05)

Related Items (3)

Locally Definitizable Operators: The Local Structure of the Spectrum ⋮ The quadratic numerical range of an analytic operator function ⋮ On finite rank perturbations of selfadjoint operators in Krein spaces and eigenvalues in spectral gaps

Cites Work

• Locally definite operators in indefinite inner product spaces
• Variational principles for real eigenvalues of self-adjoint operator pencils
• Defect basis property of the eigenvectors of a selfadjoint operator- valued function and formula for defect
• A minimax principle for nonoverdamped systems
• Definitizable operators and quasihyperbolic operator polynomials
• Factorization of a selfadjoint nonanalytic operator function. II: Single spectral zone
• Über eine Klasse polynomialer Scharen selbstadjungierter Operatoren im Hilbertraum
• Über einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im RaumeIIx zusammenhängen. I. Einige Funktionenklassen und ihre Darstellungen
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