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Further common local spectral properties for bounded linear operators

dc.creatorZguitti, Hassane
dc.date2020-02-04
dc.date.accessioned2020-02-05T12:59:02Z
dc.date.available2020-02-05T12:59:02Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/3450
dc.identifier10.22199/issn.0717-6279-2020-01-0015
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/123594
dc.descriptionWe 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)2A. We prove that AC and BA share the single valued extension property, the Bishop property (β), the property (βε), the decomposition property (δ) and decomposability. Closedness of analytic core and quasinilpotent part are also investigated. Some applications to Fredholm operators are given.en-US
dc.languageeng
dc.publisherUniversidad Católica del Norte.en-US
dc.relationhttps://www.revistaproyecciones.cl/article/view/3450/3343
dc.rightsCopyright (c) 2020 Hassane Zguittien-US
dc.rightshttp://creativecommons.org/licenses/by/4.0en-US
dc.sourceProyecciones (Antofagasta, On line); Vol 39 No 1 (2020); 243-259en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 39 Núm. 1 (2020); 243-259es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectJacobson's lemmaen-US
dc.subjectCommon propertiesen-US
dc.subjectLocal spectral theoryen-US
dc.subject47A10en-US
dc.subjectSpectrum, resolventen-US
dc.subject47A11en-US
dc.subjectLocal spectral propertiesen-US
dc.subject47A53en-US
dc.subject(Semi-) Fredholm operators; index theoriesen-US
dc.subject47A55en-US
dc.subjectPerturbation theoryen-US
dc.titleFurther common local spectral properties for bounded linear operatorsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typePeer-reviewed Articleen-US
dc.typetexten-US


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