Adelaide Research & Scholarship
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https://hdl.handle.net/2440/61699
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| Type: | Journal article |
| Title: | Laurent series for inversion of linearly perturbed bounded linear operators on Banach space |
| Author: | Howlett, P. Albrecht, A. Pearce, C. |
| Citation: | Journal of Mathematical Analysis and Applications, 2010; 366(1):112-123 |
| Publisher: | Academic Press Inc Elsevier Science |
| Issue Date: | 2010 |
| ISSN: | 0022-247X 1096-0813 |
| Statement of Responsibility: | Phil Howlett, Amie Albrecht, Charles Pearce |
| Abstract: | In this paper we find necessary and sufficient conditions for the existence of a Laurent series expansion with a finite order pole at the origin for the inverse of a linearly perturbed bounded linear operator mapping one Banach space to another. In particular we show that the inversion defines linear projections that separate the Banach spaces into corresponding complementary subspaces. We present two pertinent applications. Crown Copyright © 2009. |
| Keywords: | Banach space Linear perturbation Bounded linear operators Laurent series |
| Rights: | Crown copyright © 2009; Published by Elsevier Inc. |
| DOI: | 10.1016/j.jmaa.2009.12.007 |
| Published version: | http://dx.doi.org/10.1016/j.jmaa.2009.12.007 |
| Appears in Collections: | Aurora harvest 5 Mathematical Sciences publications |
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