The fundamental equations for inversion of operator pencils on Banach space

DOI10.1016/j.jmaa.2013.11.060zbMath1308.47013arXiv2202.12410OpenAlexW2005878968MaRDI QIDQ2019242

Charles E. M. Pearce, Amie R. Albrecht, Phil G. Howlett

Publication date: 27 March 2015

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

Full work available at URL: https://arxiv.org/abs/2202.12410

zbMATH Keywords

resolventsingular perturbationoperator pencilfundamental equations

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

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 ⋮ Asymptotic Expansions for Stationary Distributions of Perturbed Semi-Markov Processes ⋮ 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 ⋮ On inequalities for eigenvalues of 2 × 2 matrices with Schatten–von Neumann entries ⋮ Resolvent and logarithmic residues of a singular operator pencil in Hilbert spaces

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