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...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Zguitti,Hassane
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Jacobson's lemma Common properties Local spectral theory.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100243
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:scielo:S0716-09172020000100243
record_format	dspace
spelling	oai:scielo:S0716-091720200001002432020-02-18Furter common local spectral properties for bounded linear operatorsZguitti,Hassane Jacobson's lemma Common properties Local spectral theory. 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.1 20202020-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100243en10.22199/issn.0717-6279-2020-01-0015
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Jacobson's lemma Common properties Local spectral theory.
spellingShingle	Jacobson's lemma Common properties Local spectral theory. Zguitti,Hassane Furter common local spectral properties for bounded linear operators
description	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.
author	Zguitti,Hassane
author_facet	Zguitti,Hassane
author_sort	Zguitti,Hassane
title	Furter common local spectral properties for bounded linear operators
title_short	Furter common local spectral properties for bounded linear operators
title_full	Furter common local spectral properties for bounded linear operators
title_fullStr	Furter common local spectral properties for bounded linear operators
title_full_unstemmed	Furter common local spectral properties for bounded linear operators
title_sort	furter common local spectral properties for bounded linear operators
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100243
work_keys_str_mv	AT zguittihassane furtercommonlocalspectralpropertiesforboundedlinearoperators
_version_	1718439866879967232

Furter common local spectral properties for bounded linear operators

Ejemplares similares