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Unbounded B-Fredholm operators on Hilbert spaces
Citation
Berkani, M. and Castro González, Nieves (2008). Unbounded B-Fredholm operators on Hilbert spaces. "Proceedings of the Edinburgh Mathematical Society", v. 51 (n. 2); pp. 285-296. ISSN 0013-0915. https://doi.org/10.1017/S0013091505001574.
Description
| Title: | Unbounded B-Fredholm operators on Hilbert spaces |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Proceedings of the Edinburgh Mathematical Society |
| Date: | June 2008 |
| ISSN: | 0013-0915 |
| Volume: | 51 |
| Subjects: | |
| Freetext Keywords: | unbounded B-Fredholm operators; index; Drazin inverse |
| Faculty: | Facultad de Informática (UPM) |
| Department: | Matemática Aplicada |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
This paper is concerned with the study of a class of closed linear operators densely defined on a Hilbert space H and called B-Fredholm operators. We characterize a B-Fredholm operator as the direct sum of a Fredholm closed operator and a bounded nilpotent operator. The notion of an index of a B-Fredholm operator is introduced and a characterization of B-Fredholm operators with index 0 is given in terms of the sum of a Drazin closed operator and a finite-rank operator. We analyse the properties of the powers Tm of a closed B-Fredholm operator and we establish a spectral mapping theorem.
More information
| Item ID: | 2163 |
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| DC Identifier: | https://oa.upm.es/2163/ |
| OAI Identifier: | oai:oa.upm.es:2163 |
| DOI: | 10.1017/S0013091505001574 |
| Official URL: | http://journals.cambridge.org/action/search |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 04 Feb 2010 12:38 |
| Last Modified: | 20 Apr 2016 11:55 |
