数学物理学报 ›› 2012, Vol. 32 ›› Issue (6): 1102-1109.

• 论文 • 上一篇    下一篇

单位圆盘代数上的加权复合算子的有限和

仝策中1, 周泽华2   

  1. 1.河北工业大学数学系 天津 300401|2.天津大学数学系 天津 300072
  • 收稿日期:2010-11-09 修回日期:2012-06-12 出版日期:2012-12-25 发布日期:2012-12-25
  • 基金资助:

    国家自然科学基金(10971153, 10671141, 11171087)资助

The Sum of Weighted Composition Operators on the Disk Algebra

 TONG Ce-Zhong1, ZHOU Ze-Hua2   

  1. 1.Department of Mathematics, Hebei University of Technology, Tianjin 300401;

    2.Department of Mathematics, Tianjin University, Tianjin 300072
  • Received:2010-11-09 Revised:2012-06-12 Online:2012-12-25 Published:2012-12-25
  • Supported by:

    国家自然科学基金(10971153, 10671141, 11171087)资助

摘要:

首先研究了作用在单位圆盘代数上的加权复合算子有限和的紧性, 而后证明了非零加权复合算子的全体构成的拓扑空间是连通的.

关键词: 加权复合算子, 单位圆盘代数, 有限和, 拓扑连通

Abstract:

In this paper, we investigate the compact sum of weighted composition operators on the unit disk algebra. The connectedness of the topology space consisted of non-zero weighted composition operators on the unit disk algebra is also studied.

Key words: Weighted composition operator, Unit disk algebra, Sum, Topological connectness

中图分类号: 

  • 47B33