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

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-2019-04-0041

Keywords:

Almost convergence, Paranorm space, Orlicz function, β-and γ-duals, Matrix transformations

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.

Author Biographies

Kuldip Raj, Shri Mata Vaishno Devi University.

School of Mathematics.

Charu Sharma, Shri Mata Vaishno Devi University.

School of Mathematics.

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Published

2019-09-30

How to Cite

[1]
K. Raj and C. Sharma, “A relation of Banach limit and difference matrix to generate some Orlicz sequence spaces”, Proyecciones (Antofagasta, On line), vol. 38, no. 4, pp. 637-652, Sep. 2019.

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Section

Artículos