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...

Full description

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
Description
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.