A Note on Preservation of Generalized Fredholm Spectra in Berkani’s Sense

In this paper, we study the relationships between the spectra derived from B-Fredholm theory corresponding to two given bounded linear operators. The main goal of this paper is to obtain sufficient conditions for which the spectra derived from B-Fredholm theory corresponding to two given operators are respectively the same. Among other results, we prove that B-Fredholm type spectral properties for an operator and its restriction are equivalent, as well as obtain conditions for which B-Fredholm type spectral properties corresponding to two given operators are the same. As application of our results, we obtain conditions for which the above mentioned spectra and the spectra derived from the classical Fredholm theory are the same.

• Autores: Carpintero, Carlos; Rosas, Ennis; Sanabria, José; Gutierrez, A
• Tipo de recurso: Article of investigation
• Fecha de publicación: 2018
• Institución: Corporación Universitaria del Caribe - CECAR
• Repositorio: Repositorio Digital CECAR
• Idioma: eng
• OAI Identifier: oai:repositorio.cecar.edu.co:cecar/10960
• Acceso en línea: https://repositorio.cecar.edu.co/handle/cecar/10960
• Palabra clave: Restrictions of operators; Single-valued extension property; Fredholm theory; B-Fredholm theory; Generalized spectra
• Rights: openAccess
• License: Derechos Reservados. Corporación Universitaria del Caribe – CECAR