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Generalized difference sequence spaces on seminormed space defined by Orlicz functions
Authors:Binod Chandra Tripathy  Yavuz Altin  Mikail Et
Affiliation:(1) Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Baragoan, Garchuk Guwahati, 781 035, India;(2) Department of Mathematics, Firat University, 23119 Elazig, Turkey
Abstract:In this paper we define the sequence space ℓ M m , p, q, s) on a seminormed complex linear space by using an Orlicz function. We study its different algebraic and topological properties like solidness, symmetricity, monotonicity, convergence free etc. We prove some inclusion relations involving ℓ M m , p, q, s).
Keywords:Orlicz function  difference sequence  solid space  symmetric space  sequence algebra
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