Generalized Drazin-type spectra of Operator matrices

Abstract: In this paper, we investigate the limit points set of surjective and approximate point spectra of upper triangular operator matrices . We prove that σ*(MC) ∪ W=σ*(𝐴)∪σ*(𝐵) where W is the union of certain holes in &...

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Autores principales:	Tajmouati,A., Abkari,M., Karmouni,M.
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2018
Materias:	Surjective spectrum approximate point spectrum generalized Drazin spectrum Single-valued extension property operator matrices.
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100119
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spelling	oai:scielo:S0716-091720180001001192018-03-13Generalized Drazin-type spectra of Operator matricesTajmouati,A.Abkari,M.Karmouni,M. Surjective spectrum approximate point spectrum generalized Drazin spectrum Single-valued extension property operator matrices. Abstract: In this paper, we investigate the limit points set of surjective and approximate point spectra of upper triangular operator matrices . We prove that σ(MC) ∪ W=σ(𝐴)∪σ(𝐵) where W is the union of certain holes in σ(MC), which happen to be subsets of σlgD(𝐵) ∩ σrgD(𝐴), σ* ∈ {σlgD, σrgD} are the limit points set of surjective and approximate point spectra. Furthermore, several sufficient conditions for σ* (MC) = σ* (𝐴)∪σ* (𝐵) holds for every C ∈ ℬ(Y,X) are given.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.37 n.1 20182018-03-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100119en10.4067/S0716-09172018000100119
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Surjective spectrum approximate point spectrum generalized Drazin spectrum Single-valued extension property operator matrices.
spellingShingle	Surjective spectrum approximate point spectrum generalized Drazin spectrum Single-valued extension property operator matrices. Tajmouati,A. Abkari,M. Karmouni,M. Generalized Drazin-type spectra of Operator matrices
description	Abstract: In this paper, we investigate the limit points set of surjective and approximate point spectra of upper triangular operator matrices . We prove that σ(MC) ∪ W=σ(𝐴)∪σ(𝐵) where W is the union of certain holes in σ(MC), which happen to be subsets of σlgD(𝐵) ∩ σrgD(𝐴), σ* ∈ {σlgD, σrgD} are the limit points set of surjective and approximate point spectra. Furthermore, several sufficient conditions for σ* (MC) = σ* (𝐴)∪σ* (𝐵) holds for every C ∈ ℬ(Y,X) are given.
author	Tajmouati,A. Abkari,M. Karmouni,M.
author_facet	Tajmouati,A. Abkari,M. Karmouni,M.
author_sort	Tajmouati,A.
title	Generalized Drazin-type spectra of Operator matrices
title_short	Generalized Drazin-type spectra of Operator matrices
title_full	Generalized Drazin-type spectra of Operator matrices
title_fullStr	Generalized Drazin-type spectra of Operator matrices
title_full_unstemmed	Generalized Drazin-type spectra of Operator matrices
title_sort	generalized drazin-type spectra of operator matrices
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2018
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172018000100119
work_keys_str_mv	AT tajmouatia generalizeddrazintypespectraofoperatormatrices AT abkarim generalizeddrazintypespectraofoperatormatrices AT karmounim generalizeddrazintypespectraofoperatormatrices
_version_	1718439832427954176

Generalized Drazin-type spectra of Operator matrices

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