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

Raj, Kuldip ^[1] ; Sharma, Charu ^[1]
1. [1] Shri Mata Vaishno Devi University
  
  Shri Mata Vaishno Devi University
  
  India
Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 4, 2019, págs. 637-652
Idioma: inglés
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Resumen
- 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 inclusion relations between these spaces are establish. Furthermore, we study matrix transformations and compute β−, γ− duals of these spaces.