Skip to content
Research Article Open access CC BY 4.0

On Some Banach Sequence Spaces Derived by a New Band Matrix

Emrah Evren Kara, Merve İlkhan

Journal of Advances in Mathematics and Computer Science · pp. 141–159 · Published 21 May 2015

10.9734/BJMCS/2015/17499

Abstract

In this paper, we de_ne the band matrix T = (tnk) by   where tn > 0 for all n ∈ N and (tn) ∈ c\c0. By using the matrix T, we introduce the sequence space `p(T) for 1 ≤  p≤ ∞. Also, we give some inclusion theorems related to this space and find the ∝-, B-, γ- duals of the space `p(T). Lastly, we investigate the necessary and su_cient conditions for an in_nite matrix to be in the classes (`p(T); λ) or (λ; `p(T)) and give the norm of the operators in B(`p(T); μ (S)), where λ ∈ {`1; c0; c; ∞ `} and μ ∈{`1; `1}.

Sequence spaces matrix transformations Schauder basis α-; β-; γ-duals.

Cited by 37

On The Difference Sequence Space $l_p(\hat{T}^q)$

M. İlkhan, P. Alp · Mathematical sciences and applications e-notes · 2019

Intuitionistic fuzzy I-convergent Fibonacci difference sequence spaces

V. Khan, E. Kara, Henna Altaf · Journal of Inequalities and Applications · 2019

Generalization of the Absolute Cesàro Space and Some Matrix Transformations

Fadime Gökçe, M. Sarıgöl · Numerical Functional Analysis and Optimization · 2019

On multipliers of matrix domains

G. Talebi · Journal of Inequalities and Applications · 2018

Binomial difference sequence spaces of fractional order

Jian Meng, Liquan Mei · Journal of Inequalities and Applications · 2018

On the paranormed binomial sequence spaces

Serkan Demiriz, Hacer Bilgin Ellidokuzoğlu, Ali Köseoğlu · Universal Journal of Mathematics and Applications · 2018

Norms and lower bounds of some matrix operators on Fibonacci weighted difference sequence space

M. İlkhan · Mathematical methods in the applied sciences · 2018

Generalization of the space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$l(p)$\end{document}l(p) derived by absolute

Fadime Gökçe, M. Sarıgöl · Journal of Inequalities and Applications · 2018

A New Outlook for Almost Convergent Sequence Spaces

M. Candan · 2018

On some binomial B(m)$B^{(m)}$-difference sequence spaces

Jian Meng, Meimei Song · Journal of Inequalities and Applications · 2017

Related research

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

37

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.