| 一类无穷矩阵变换的刻划 |
| |
| 引用本文： | 王富彬,金鸿章,王辉. 一类无穷矩阵变换的刻划[J]. 数学的实践与认识, 2010, 40(4) |
| |
| 作者姓名： | 王富彬 金鸿章 王辉 |
| |
| 作者单位： | 1. 哈尔滨工程大学,自动化学院,黑龙江,哈尔滨,150001
2. 哈尔滨师范大学,数学系,黑龙江,哈尔滨,150025 |
| |
| 基金项目： | 国家自然科学基金(50879012); 黑龙江省自然科学基金(TA2005-19) |
| |
| 摘 要： | 对于一类经典的矢值序列空间,引入了一类重要子集,它包括了该序列空间的全部全有界集和许多非全有界集.利用Antosik-Mikusinski基本矩阵定理和该子集族,获得了一个无穷矩阵收敛定理,进而给出了一类经典无穷矩阵变换的刻划.
|
| 关 键 词： | 一致耗尽 全有界 序列对偶空间 无穷矩阵变换 |
Characterizations of a Class of Infinite Matrix Transformations |
| |
| WANG Fu-bin,JIN Hong-zhang,WANG Hui. Characterizations of a Class of Infinite Matrix Transformations[J]. Mathematics in Practice and Theory, 2010, 40(4) |
| |
| Authors: | WANG Fu-bin JIN Hong-zhang WANG Hui |
| |
| Affiliation: | WANG Fu-bin~1,JIN Hong-zhang~1,WANG Hui~2 (1.Automation College Harbin Engineering University,Harbin 150001,China) (2.Department of Mathematics Harbin Normal University,Harbin 150025,China) |
| |
| Abstract: | For a type of classic vector-valued sequence space,a class of important subsets was introduced in this article,it includes all totally bounded sets and many sets which are not totally bounded in the sequence space.From the Antosik-Mikusinski basic matrix theorem and the subset family,an infinite matrix convergence theorem was obtained and the characterization of a class of classical infinite matrix transformations was also derived. |
| |
| Keywords: | unifomly exhaustive totally bounded sequential dual space infinite matrix transformation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
