On Absolute Nörlund Spaces and Matrix Operators |
| |
基金项目: | Supported by Pamukkale University Scientific Research Projects Coordinatorship (Grant No. 2014FBE061) |
| |
摘 要: | In a more recent paper, the second author has introduced a space |C_α|_k as the set of all series by absolute summable using Ces`aro matrix of order α -1. In the present paper we extend it to the absolute N?rlund space |N_p~θ|_k taking N?rlund matrix in place of Ces`aro 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.
|
本文献已被 CNKI SpringerLink 等数据库收录! |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学学报(英文版)》下载免费的PDF全文 |