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Proyecciones (Antofagasta)

versión impresa ISSN 0716-0917

Proyecciones (Antofagasta) vol.38 no.4 Antofagasta dic. 2019 


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

1Shri Mata Vaishno Devi University, School of Mathematics. Katra, JK, India. e-mail:

2Shri Mata Vaishno Devi University, School of Mathematics. Katra, JK, India e-mail:


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.

Keywords: Almost convergence; Paranorm space; Orlicz function; β-and γ-duals; Matrix transformations.

Texto completo disponible sólo en PDF.

Full text available only in PDF format.


The authors are thankful to the reviewer(s) for their valuable comments and suggestions which improved the presentation of the paper. The corresponding author thanks the Council of Scientific and Industrial Research (CSIR), India for partial support under Grant No. 25(0288)/18/EMR-II, dated 24/05/2018.


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Received: March 2018; Accepted: July 2019

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