Weakly unconditionally Cauchy series and Fibonacci sequence spaces

We study new sequence spaces associated to sequences in normed spaces and the band matrix F̂ defined by the Fibonacci sequence. We give some characterizations of continuous linear operators and weakly unconditionally Cauchy series by means of completeness of the new sequence spaces. Also, we charact...

Descripción completa

Detalles Bibliográficos
Autores principales: Kama, Ramazan, Altay, Bilal
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5488063/
https://www.ncbi.nlm.nih.gov/pubmed/28680236
http://dx.doi.org/10.1186/s13660-017-1407-y
_version_ 1783246583430643712
author Kama, Ramazan
Altay, Bilal
author_facet Kama, Ramazan
Altay, Bilal
author_sort Kama, Ramazan
collection PubMed
description We study new sequence spaces associated to sequences in normed spaces and the band matrix F̂ defined by the Fibonacci sequence. We give some characterizations of continuous linear operators and weakly unconditionally Cauchy series by means of completeness of the new sequence spaces. Also, we characterize the barreledness of a normed space via weakly(∗) unconditionally Cauchy series in [Formula: see text] .
format Online
Article
Text
id pubmed-5488063
institution National Center for Biotechnology Information
language English
publishDate 2017
publisher Springer International Publishing
record_format MEDLINE/PubMed
spelling pubmed-54880632017-07-03 Weakly unconditionally Cauchy series and Fibonacci sequence spaces Kama, Ramazan Altay, Bilal J Inequal Appl Research We study new sequence spaces associated to sequences in normed spaces and the band matrix F̂ defined by the Fibonacci sequence. We give some characterizations of continuous linear operators and weakly unconditionally Cauchy series by means of completeness of the new sequence spaces. Also, we characterize the barreledness of a normed space via weakly(∗) unconditionally Cauchy series in [Formula: see text] . Springer International Publishing 2017-06-08 2017 /pmc/articles/PMC5488063/ /pubmed/28680236 http://dx.doi.org/10.1186/s13660-017-1407-y Text en © The Author(s) 2017 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
Kama, Ramazan
Altay, Bilal
Weakly unconditionally Cauchy series and Fibonacci sequence spaces
title Weakly unconditionally Cauchy series and Fibonacci sequence spaces
title_full Weakly unconditionally Cauchy series and Fibonacci sequence spaces
title_fullStr Weakly unconditionally Cauchy series and Fibonacci sequence spaces
title_full_unstemmed Weakly unconditionally Cauchy series and Fibonacci sequence spaces
title_short Weakly unconditionally Cauchy series and Fibonacci sequence spaces
title_sort weakly unconditionally cauchy series and fibonacci sequence spaces
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5488063/
https://www.ncbi.nlm.nih.gov/pubmed/28680236
http://dx.doi.org/10.1186/s13660-017-1407-y
work_keys_str_mv AT kamaramazan weaklyunconditionallycauchyseriesandfibonaccisequencespaces
AT altaybilal weaklyunconditionallycauchyseriesandfibonaccisequencespaces

Ejemplares similares