Submatrices of Four Dimensional Summability Matrices

In this paper, we show that a matrix that maps ℓ′′ into ℓ′′ can be obtained from any RH-regular matrix by the deletion of rows. Also a four dimensional conservative matrix can be obtained by the deletion of rows from a matrix that preserves...

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Autores principales:	Nuray,Fatih, Patterson,Richard F
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
Materias:	Submatrix four dimensional summability matrix Double Sequences Pringsheim Limit RH-regular matrix
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200006
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spelling	oai:scielo:S0719-064620150002000062018-10-08Submatrices of Four Dimensional Summability MatricesNuray,FatihPatterson,Richard F Submatrix four dimensional summability matrix Double Sequences Pringsheim Limit RH-regular matrix In this paper, we show that a matrix that maps ℓ′′ into ℓ′′ can be obtained from any RH-regular matrix by the deletion of rows. Also a four dimensional conservative matrix can be obtained by the deletion of rows from a matrix that preserves boundedness. We will use these techniques to derive a sufficient condition for a four dimensional matrix to sum an unbounded sequence.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.2 20152015-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200006en10.4067/S0719-06462015000200006
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Submatrix four dimensional summability matrix Double Sequences Pringsheim Limit RH-regular matrix
spellingShingle	Submatrix four dimensional summability matrix Double Sequences Pringsheim Limit RH-regular matrix Nuray,Fatih Patterson,Richard F Submatrices of Four Dimensional Summability Matrices
description	In this paper, we show that a matrix that maps ℓ′′ into ℓ′′ can be obtained from any RH-regular matrix by the deletion of rows. Also a four dimensional conservative matrix can be obtained by the deletion of rows from a matrix that preserves boundedness. We will use these techniques to derive a sufficient condition for a four dimensional matrix to sum an unbounded sequence.
author	Nuray,Fatih Patterson,Richard F
author_facet	Nuray,Fatih Patterson,Richard F
author_sort	Nuray,Fatih
title	Submatrices of Four Dimensional Summability Matrices
title_short	Submatrices of Four Dimensional Summability Matrices
title_full	Submatrices of Four Dimensional Summability Matrices
title_fullStr	Submatrices of Four Dimensional Summability Matrices
title_full_unstemmed	Submatrices of Four Dimensional Summability Matrices
title_sort	submatrices of four dimensional summability matrices
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2015
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000200006
work_keys_str_mv	AT nurayfatih submatricesoffourdimensionalsummabilitymatrices AT pattersonrichardf submatricesoffourdimensionalsummabilitymatrices
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Submatrices of Four Dimensional Summability Matrices

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