A Note On Preservation Of Spectra For Two Given Operators
We study the relationships between the spectra derived from Fredholm theory corresponding to two given bounded linear operators acting on the same space. The main goal of this paper is to obtain sufficient conditions for which the spectra derived from Fredholm theory and other parts of the spectra c...
- Autores:
-
Carpintero, Carlos
Gutiérrez, Alexander
Rosas, Ennis
Sanabria, José
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2020
- Institución:
- Corporación Universitaria del Caribe - CECAR
- Repositorio:
- Repositorio Digital CECAR
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.cecar.edu.co:cecar/10907
- Acceso en línea:
- https://repositorio.cecar.edu.co/handle/cecar/10907
- Palabra clave:
- Restriction of an operator
Spectral property
Semi-Fredholm spectra
Multiplication operator
- Rights
- openAccess
- License
- Derechos Reservados. Corporación Universitaria del Caribe – CECAR
| Summary: | We study the relationships between the spectra derived from Fredholm theory corresponding to two given bounded linear operators acting on the same space. The main goal of this paper is to obtain sufficient conditions for which the spectra derived from Fredholm theory and other parts of the spectra corresponding to two given operators are preserved. As an application of our results, we give conditions for which the above mentioned spectra corresponding to two multiplication operators acting on the space of functions of bounded p-variation in Wiener’s sense coincide. Additional illustrative results are given too. |
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