Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions

Authors : Emine Özçelik, Çiğdem Bektaş

Pages : 1-12

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Publication Date : 2024-09-04

Article Type : Research Paper

Abstract :In this paper, we define a new Riesz sequence space using a sequence of modulus functions. Furthermore, we give that this space is linearly isomorphism with l(p) and determine its basis. We also give some inclusion relationships and compute α- and β- duals of this space.
Keywords : Riesz Sequence Spaces, Modulus Function, Paranorm, İnfinite Matrices