A relation of Banach limit and difference matrix to generate some Orlicz sequence spaces
Keywords:Almost convergence, Paranorm space, Orlicz function, β-and γ-duals, Matrix transformations
AbstractIn 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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