Inversion of analytically perturbed linear operators that are singular at the origin

DOI10.1016/j.jmaa.2008.11.074zbMath1216.47020OpenAlexW1989899857MaRDI QIDQ1014663

Phil G. Howlett, Vladimir V. Ežov, Konstantin E. Avrachenkov, Charles E. M. Pearce

Publication date: 29 April 2009

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.11.074

zbMATH Keywords

inverse operatorlinear operatoranalytic perturbation

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) 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)

Related Items (13)

Some results on eigenvalues of finite type, resolvents and Riesz projections ⋮ The fundamental equations for the generalized resolvent of an elementary pencil in a unital Banach algebra ⋮ Inversion of regular analytic matrix functions: Local Smith form and subspace duality ⋮ Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes ⋮ Necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space using Laurent series ⋮ Laurent series for inversion of linearly perturbed bounded linear operators on Banach space ⋮ The fundamental equations for inversion of operator pencils on Banach space ⋮ Inverting a Matrix Function around a Singularity via Local Rank Factorization ⋮ INVERSION OF OPERATOR PENCILS ON HILBERT SPACE ⋮ Inversion of operator pencils on Banach space using Jordan chains when the generalized resolvent has an isolated essential singularity ⋮ Resolvent and logarithmic residues of a singular operator pencil in Hilbert spaces ⋮ COINTEGRATION IN FUNCTIONAL AUTOREGRESSIVE PROCESSES ⋮ A general inversion theorem for cointegration

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