A relation of Banach limit and difference matrix to generate some Orlicz sequence spaces

A relation of Banach limit and difference matrix to generate some Orlicz sequence spaces

Abstract In the present paper we study the applications of generalized difference matrices and Orlicz function to generate some spaces of almost convergent sequences. We make an effort to study some algebraic and topological properties of these sequence spaces. Some inclusión relations between thes...

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Bibliographic Details
Main Authors: Raj,Kuldip, Sharma,Charu
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2019
Subjects:
Almost convergence
Paranorm space
Orlicz function
β-and γ-duals
Matrix transformations.
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000400637
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Summary:Abstract In the present paper we study the applications of generalized difference matrices and Orlicz function to generate some spaces of almost convergent sequences. We make an effort to study some algebraic and topological properties of these sequence spaces. Some inclusión relations between these spaces are establish. Furthermore, we study matrix transformations and compute β−, γ− duals of these spaces.

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