Unbounded B-Fredholm operators on Hilbert spaces

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
Author/s:
  • Berkani, M.
  • Castro González, Nieves
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

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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
DC Identifier: http://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
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