On multipliers of matrix domains

In this paper, we obtain the Köthe–Toeplitz duals of the domain of an arbitrary invertible summability matrix E in the space [Formula: see text] . As a consequence, we apply our results to the Fibonacci and Euler sequence spaces and show that some recent works by Altay, Başar, and Mursaleen (Inf. Sc...

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Autor principal: Talebi, Gholamreza
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208622/
https://www.ncbi.nlm.nih.gov/pubmed/30839804
http://dx.doi.org/10.1186/s13660-018-1887-4
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author Talebi, Gholamreza
author_facet Talebi, Gholamreza
author_sort Talebi, Gholamreza
collection PubMed
description In this paper, we obtain the Köthe–Toeplitz duals of the domain of an arbitrary invertible summability matrix E in the space [Formula: see text] . As a consequence, we apply our results to the Fibonacci and Euler sequence spaces and show that some recent works by Altay, Başar, and Mursaleen (Inf. Sci. 176:1450–1462, 2006) are all the special cases of our results.
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spelling pubmed-62086222018-11-09 On multipliers of matrix domains Talebi, Gholamreza J Inequal Appl Research In this paper, we obtain the Köthe–Toeplitz duals of the domain of an arbitrary invertible summability matrix E in the space [Formula: see text] . As a consequence, we apply our results to the Fibonacci and Euler sequence spaces and show that some recent works by Altay, Başar, and Mursaleen (Inf. Sci. 176:1450–1462, 2006) are all the special cases of our results. Springer International Publishing 2018-10-29 2018 /pmc/articles/PMC6208622/ /pubmed/30839804 http://dx.doi.org/10.1186/s13660-018-1887-4 Text en © The Author(s) 2018 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Talebi, Gholamreza
On multipliers of matrix domains
title On multipliers of matrix domains
title_full On multipliers of matrix domains
title_fullStr On multipliers of matrix domains
title_full_unstemmed On multipliers of matrix domains
title_short On multipliers of matrix domains
title_sort on multipliers of matrix domains
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6208622/
https://www.ncbi.nlm.nih.gov/pubmed/30839804
http://dx.doi.org/10.1186/s13660-018-1887-4
work_keys_str_mv AT talebigholamreza onmultipliersofmatrixdomains

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