Generalized Riesz Spaces Defined by Using a Sequence of Modulus Functions

Year 2024, Volume: 7 Issue: 3, 1 - 12, 04.09.2024

Emine Özçelik , Çiğdem Bektaş

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

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