2022-01-28T23:56:54Z
https://oa.upm.es/cgi/oai2
oai:oa.upm.es:2163
2016-04-20T11:55:14Z
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Unbounded B-Fredholm operators on Hilbert spaces
Berkani, M.
Castro González, Nieves
Mathematics
Computer Science
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.
Facultad de Informática (UPM)
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
2008-06
info:eu-repo/semantics/article
Article
Proceedings of the Edinburgh Mathematical Society, ISSN 0013-0915, 2008-06, Vol. 51, No. 2
PeerReviewed
application/pdf
eng
http://journals.cambridge.org/action/search
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/altIdentifier/doi/10.1017/S0013091505001574
http://oa.upm.es/2163/