Upper triangular operator matrices and limit points of the essential spectrum

Abstract In this paper, we investigate the limit points set of essential spectrum of upper triangular operator matrices We prove that accσe(MC) ∪ W = accσe(A) ∪ accσe(B) where W is the union of certain holes in accσe(MC), which happen to b...

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Autores principales:	Karmouni,M., Tajmouati,A., Bakkali,A. El
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2019
Materias:	Fredholm operator Essential spectra Limit point Operator matrices. 47A10 47A11
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000300401
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spelling	oai:scielo:S0716-091720190003004012019-08-28Upper triangular operator matrices and limit points of the essential spectrumKarmouni,M.Tajmouati,A.Bakkali,A. El Fredholm operator Essential spectra Limit point Operator matrices. 47A10 47A11 Abstract In this paper, we investigate the limit points set of essential spectrum of upper triangular operator matrices We prove that accσe(MC) ∪ W = accσe(A) ∪ accσe(B) where W is the union of certain holes in accσe(MC), which happen to be subsets of accσe(B) ∩ accσe(A). Also, several sufficient conditions for accσe(MC) = accσe(A) ∪ accσe(B) holds are given.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.3 20192019-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000300401en10.22199/issn.0717-6279-2019-03-0026
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Fredholm operator Essential spectra Limit point Operator matrices. 47A10 47A11
spellingShingle	Fredholm operator Essential spectra Limit point Operator matrices. 47A10 47A11 Karmouni,M. Tajmouati,A. Bakkali,A. El Upper triangular operator matrices and limit points of the essential spectrum
description	Abstract In this paper, we investigate the limit points set of essential spectrum of upper triangular operator matrices We prove that accσe(MC) ∪ W = accσe(A) ∪ accσe(B) where W is the union of certain holes in accσe(MC), which happen to be subsets of accσe(B) ∩ accσe(A). Also, several sufficient conditions for accσe(MC) = accσe(A) ∪ accσe(B) holds are given.
author	Karmouni,M. Tajmouati,A. Bakkali,A. El
author_facet	Karmouni,M. Tajmouati,A. Bakkali,A. El
author_sort	Karmouni,M.
title	Upper triangular operator matrices and limit points of the essential spectrum
title_short	Upper triangular operator matrices and limit points of the essential spectrum
title_full	Upper triangular operator matrices and limit points of the essential spectrum
title_fullStr	Upper triangular operator matrices and limit points of the essential spectrum
title_full_unstemmed	Upper triangular operator matrices and limit points of the essential spectrum
title_sort	upper triangular operator matrices and limit points of the essential spectrum
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000300401
work_keys_str_mv	AT karmounim uppertriangularoperatormatricesandlimitpointsoftheessentialspectrum AT tajmouatia uppertriangularoperatormatricesandlimitpointsoftheessentialspectrum AT bakkaliael uppertriangularoperatormatricesandlimitpointsoftheessentialspectrum
_version_	1718439850212851712

Upper triangular operator matrices and limit points of the essential spectrum

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