COMPACT DIFFERENCES OF WEIGHTED COMPOSITION OPERATORS ON H∞(BN)

被引：0
|
作者：
Tong, Ce-Zhong [1 ]
机构：
[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2012年 / 14卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Weighted composition operators; Compact differences; Weakly convergent; Topological structure; Connected component; TOPOLOGICAL-STRUCTURE; BANACH-SPACES; H-INFINITY; COMPONENTS;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, the compactness of differences of two weighted composition operators on the space of bounded analytic functions on the open unit ball in the uniform operator topology is characterized. A sufficient condition when two weighted composition operators lie in the same component of the space of nonzero weighted composition operators on H-infinity(B-N), which is denoted by C-w(H-infinity(B-N)), is established as well.
引用
收藏
页码：32 / 41
页数：10
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