On spectral properties and extensions of bounded linear operators
If T is a bounded linear operator on some Banach space and T has a bounded extension T on another space. In general, almost nothing can be said concerning the relationship between the spectral properties of T and T. In this paper, we give several sufficient conditions for which a large number of spe...
- Autores:
-
Carpintero, Carlos
Rosas, Ennis
Sanabria, José
García, Orlando
Rodríguez, Jorge
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2015
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/61892
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/61892
http://bdigital.unal.edu.co/60704/
- Palabra clave:
- 51 Matemáticas / Mathematics
Spectral properties
single-valued extension property
poles of the resolvent
semi Fredholm operator
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | If T is a bounded linear operator on some Banach space and T has a bounded extension T on another space. In general, almost nothing can be said concerning the relationship between the spectral properties of T and T. In this paper, we give several sufficient conditions for which a large number of spectral properties introduced recently are transmitted from an operator T to T and vice-versa. |
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