Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces

Fine spectra of various matrix operators on different sequence spaces have been investigated by several authors. Recently, some authors have determined the approximate point spectrum, the defect spectrum and the compression spectrum of various matrix operators on different sequence spaces. Here in t...

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Autores principales: Chandra Tripathy,Binod, Das,Rituparna
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2015
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200001
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spelling oai:scielo:S0716-091720150002000012015-10-20Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spacesChandra Tripathy,BinodDas,Rituparna Spectrum of an operator matrix mapping sequence space Fine spectra of various matrix operators on different sequence spaces have been investigated by several authors. Recently, some authors have determined the approximate point spectrum, the defect spectrum and the compression spectrum of various matrix operators on different sequence spaces. Here in this article we have determined the spectrum and fine spectrum of the upper triangular matrix U(r,s) on the sequence space cs. In a further development, we have also determined the approximate point spectrum, the defect spectrum and the compression spectrum of the operator U(r,s) on the sequence space cs.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.34 n.2 20152015-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200001en10.4067/S0716-09172015000200001
institution Scielo Chile
collection Scielo Chile
language English
topic Spectrum of an operator
matrix mapping
sequence space
spellingShingle Spectrum of an operator
matrix mapping
sequence space
Chandra Tripathy,Binod
Das,Rituparna
Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces
description Fine spectra of various matrix operators on different sequence spaces have been investigated by several authors. Recently, some authors have determined the approximate point spectrum, the defect spectrum and the compression spectrum of various matrix operators on different sequence spaces. Here in this article we have determined the spectrum and fine spectrum of the upper triangular matrix U(r,s) on the sequence space cs. In a further development, we have also determined the approximate point spectrum, the defect spectrum and the compression spectrum of the operator U(r,s) on the sequence space cs.
author Chandra Tripathy,Binod
Das,Rituparna
author_facet Chandra Tripathy,Binod
Das,Rituparna
author_sort Chandra Tripathy,Binod
title Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces
title_short Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces
title_full Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces
title_fullStr Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces
title_full_unstemmed Spectrum and fine spectrum of the upper triangular matrix U(r, s) over the sequence spaces
title_sort spectrum and fine spectrum of the upper triangular matrix u(r, s) over the sequence spaces
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2015
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200001
work_keys_str_mv AT chandratripathybinod spectrumandfinespectrumoftheuppertriangularmatrixursoverthesequencespaces
AT dasrituparna spectrumandfinespectrumoftheuppertriangularmatrixursoverthesequencespaces
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