Partition of the spectra for the lower triangular double band matrix as generalized difference operator Δ v over the sequence spaces c and 𝓵 p (1 < p < ∞)

Abstract Let the sequence (v k ) is assumed to be either constant or strictly decreasing sequence of positive real numbers satisfying lim k→∞ v k = L > 0 and sup k v k ≤ 2L. Then the generalized difference operator Δ v is Δ v x = Δ...

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Autor principal:	Durna,Nuh
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2020
Materias:	Generalized difference operator Approximate point spectrum Defect spectrum Compression spectrum
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100051
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spelling	oai:scielo:S0716-091720200001000512020-02-18Partition of the spectra for the lower triangular double band matrix as generalized difference operator Δ v over the sequence spaces c and 𝓵 p (1 < p < ∞)Durna,Nuh Generalized difference operator Approximate point spectrum Defect spectrum Compression spectrum Abstract Let the sequence (v k ) is assumed to be either constant or strictly decreasing sequence of positive real numbers satisfying lim k→∞ v k = L > 0 and sup k v k ≤ 2L. Then the generalized difference operator Δ v is Δ v x = Δ v (x n ) = (v n x n − v n−1 x n−1 ) ∞ n=0 with x −1 = v −1 = 0. The aim of this paper is to obtain the approximate point spectrum, the defect spectrum and the compression spectrum of the operator Δ v and modified of the operator Δ v on the sequence spaces c and 𝓁 p (1 < p < ∞).info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.1 20202020-02-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100051en10.22199/issn.0717-6279-2020-01-0004
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Generalized difference operator Approximate point spectrum Defect spectrum Compression spectrum
spellingShingle	Generalized difference operator Approximate point spectrum Defect spectrum Compression spectrum Durna,Nuh Partition of the spectra for the lower triangular double band matrix as generalized difference operator Δ v over the sequence spaces c and 𝓵 p (1 < p < ∞)
description	Abstract Let the sequence (v k ) is assumed to be either constant or strictly decreasing sequence of positive real numbers satisfying lim k→∞ v k = L > 0 and sup k v k ≤ 2L. Then the generalized difference operator Δ v is Δ v x = Δ v (x n ) = (v n x n − v n−1 x n−1 ) ∞ n=0 with x −1 = v −1 = 0. The aim of this paper is to obtain the approximate point spectrum, the defect spectrum and the compression spectrum of the operator Δ v and modified of the operator Δ v on the sequence spaces c and 𝓁 p (1 < p < ∞).
author	Durna,Nuh
author_facet	Durna,Nuh
author_sort	Durna,Nuh
title	Partition of the spectra for the lower triangular double band matrix as generalized difference operator Δ v over the sequence spaces c and 𝓵 p (1 < p < ∞)
title_short	Partition of the spectra for the lower triangular double band matrix as generalized difference operator Δ v over the sequence spaces c and 𝓵 p (1 < p < ∞)
title_full	Partition of the spectra for the lower triangular double band matrix as generalized difference operator Δ v over the sequence spaces c and 𝓵 p (1 < p < ∞)
title_fullStr	Partition of the spectra for the lower triangular double band matrix as generalized difference operator Δ v over the sequence spaces c and 𝓵 p (1 < p < ∞)
title_full_unstemmed	Partition of the spectra for the lower triangular double band matrix as generalized difference operator Δ v over the sequence spaces c and 𝓵 p (1 < p < ∞)
title_sort	partition of the spectra for the lower triangular double band matrix as generalized difference operator Δ v over the sequence spaces c and 𝓵 p (1 < p < ∞)
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2020
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000100051
work_keys_str_mv	AT durnanuh partitionofthespectraforthelowertriangulardoublebandmatrixasgeneralizeddifferenceoperator916voverthesequencespacescand120053p1ltplt8734
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Partition of the spectra for the lower triangular double band matrix as generalized difference operator &#916; v over the sequence spaces c and &#120053; p (1 &lt; p &lt; &#8734;)

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