Linear isomorphic spaces of Cesàro–Nörlund operator, their duals and matrix transformations

Author:

Singh Uday Pratap1,Jasrotia Swati1,Raj Kuldip1

Affiliation:

1. School of Mathematics , Shri Mata Vaishno Devi University , Katra - 182320 , India

Abstract

Abstract In this article, we introduce and study sequence spaces of Cesàro–Nörlund operators of order n associated with a sequence of Orlicz functions. We obtain some topological properties and Schauder basis of these sequence spaces. Moreover, we compute the α-, β- and γ-duals and the matrix transformations of these newly formed sequence spaces. Finally, we prove that these sequence spaces are of Banach–Saks type p and have a weak fixed-point property.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

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