Furter common local spectral properties for bounded linear operators
Abstract We study common local spectral properties for bounded linear operators A ∈ ℒ(X,Y) and B,C ∈ ℒ (Y,X) such that A(BA) 2 =ABACA=ACABA=(AC) 2 A. We prove that AC and BA share the single valued extension property, the Bishop property (β), the p...
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| Langue: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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| Accès en ligne: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100243 |
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| Résumé: | Abstract We study common local spectral properties for bounded linear operators A ∈ ℒ(X,Y) and B,C ∈ ℒ (Y,X) such that A(BA) 2 =ABACA=ACABA=(AC) 2 A. We prove that AC and BA share the single valued extension property, the Bishop property (β), the property (β ε ), the decomposition property (δ) and decomposability. Closedness of analytic core and quasinilpotent part are also investigated. Some applications to Fredholm operators are given. |
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