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Unbounded B-Fredholm operators on Hilbert spaces
Cita
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.
Descripción
| Título: | Unbounded B-Fredholm operators on Hilbert spaces |
|---|---|
| Autor/es: |
|
| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Proceedings of the Edinburgh Mathematical Society |
| Fecha: | Junio 2008 |
| ISSN: | 0013-0915 |
| Volumen: | 51 |
| Número: | 2 |
| Materias: | |
| ODS: | |
| Palabras Clave Informales: | unbounded B-Fredholm operators; index; Drazin inverse |
| Escuela: | Facultad de Informática (UPM) [antigua denominación] |
| Departamento: | Matemática Aplicada |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
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.
Más información
| ID de Registro: | 2163 |
|---|---|
| Identificador DC: | https://oa.upm.es/2163/ |
| Identificador OAI: | oai:oa.upm.es:2163 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/5483039 |
| Identificador DOI: | 10.1017/S0013091505001574 |
| URL Oficial: | http://journals.cambridge.org/action/search |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 04 Feb 2010 12:38 |
| Ultima Modificación: | 12 Nov 2025 00:00 |
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