Acta mathematica scientia,Series A ›› 2012, Vol. 32 ›› Issue (6): 1102-1109.

• Articles • Previous Articles     Next Articles

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

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

CLC Number: 

  • 47B33
Trendmd