On Absolute N?rlund Spaces and Matrix Operators  

作　　者：G.Canan HAZAR M.Ali SARIG?L 

机构地区：[1]Department of Mathematics, Faculty of Science and Arts, Pamukkale University

出　　处：《Acta Mathematica Sinica,English Series》2018年第5期812-826,共15页数学学报（英文版）

基　　金：Supported by Pamukkale University Scientific Research Pro jects Coordinatorship(Grant No.2014FBE061)

摘　　要：In a more recent paper, the second author has introduced a space ｜Cα｜k as the set of all series by absolute summable using Cesaro matrix of order α 〉 -1. In the present paper we extend it to the absolute NSrlund space ｜Np^θ｜k taking Norlund matrix in place of Cesaro matrix, and also examine some topological structures, α-β-γ-duals and the Schauder base of this space. Further we characterize certain matrix operators on that space and determine their operator norms, and so extend some well-known results.In a more recent paper, the second author has introduced a space ｜Cα｜k as the set of all series by absolute summable using Cesaro matrix of order α 〉 -1. In the present paper we extend it to the absolute NSrlund space ｜Np^θ｜k taking Norlund matrix in place of Cesaro matrix, and also examine some topological structures, α-β-γ-duals and the Schauder base of this space. Further we characterize certain matrix operators on that space and determine their operator norms, and so extend some well-known results.

关 键 词：Sequence spaces absolute Norlund summability dual spaces matrix transformations bounded linear operator BK spaces 

分 类 号：O151.21[理学—数学]