Necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space using Laurent series
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Publication:549834
DOI10.1016/j.jmaa.2011.05.007zbMath1223.47014OpenAlexW2063147174MaRDI QIDQ549834
Phil G. Howlett, Amie R. Albrecht, Charles E. M. Pearce
Publication date: 18 July 2011
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.2011.05.007
Perturbation theory of linear operators (47A55) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)
Related Items (8)
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 ⋮ COINTEGRATION AND REPRESENTATION OF COINTEGRATED AUTOREGRESSIVE PROCESSES IN BANACH SPACES ⋮ Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes ⋮ The fundamental equations for inversion of operator pencils on Banach space ⋮ 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
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