Necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space using Laurent series |
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| Authors: | Amie R Albrecht Phil G Howlett |
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| Institution: | a Centre for Industrial and Applied Mathematics, University of South Australia, Mawson Lakes, Australia
b School of Mathematical Sciences, University of Adelaide, Adelaide, Australia |
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| Abstract: | Using a Laurent series representation, we present a detailed discussion of necessary and sufficient conditions for the inversion of linearly-perturbed bounded linear operators on Banach space that are singular in the unperturbed state. |
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| Keywords: | Banach space Complementary subspaces Linear perturbation Bounded linear operators Laurent series |
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