INVERSION OF OPERATOR PENCILS ON HILBERT SPACE

DOI10.1017/S1446788718000411zbMath1440.47003OpenAlexW2906317068MaRDI QIDQ5218728

Amie R. Albrecht, Geetika Verma, Phil G. Howlett

Publication date: 5 March 2020

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788718000411

zbMATH Keywords

resolventlinear operator pencil

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) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05) Operators on Hilbert spaces (general) (47B02)

Related Items (2)

On analytic perturbations of linear equations in the case of incomplete generalized Jordan set ⋮ A generalized inverse eigenvalue problem and \(m\)-functions

Cites Work

• Necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space using Laurent series
• The computation of Kronecker's canonical form of a singular pencil
• Inversion of analytically perturbed linear operators that are singular at the origin
• Classes of linear operators. Vol. I
• Perturbation theory for linear operators.
• The fundamental equations for inversion of operator pencils on Banach space
• Laurent series for inversion of linearly perturbed bounded linear operators on Banach space
• The Laurent expansion of pencils that are singular at the origin
• An algorithm for computing Jordan chains and inverting analytic matrix functions
• Diskrete Konvergenz linearer Operatoren. I
• The Laurent expansion for a nearly singular matrix
• On the invertibility of a nearly singular matrix
• Inversion of Analytic Matrix Functions That are Singular at the Origin
• Inverting a Matrix Function around a Singularity via Local Rank Factorization
• Analytic Perturbation Theory and Its Applications
• Input retrieval in finite dimensional linear systems
• The fundamental matrix of singularly perturbed Markov chains
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