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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Universidad Católica del Norte, Departamento de Matemáticas
2015
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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 |
_version_ |
1718439804216016896 |