Components of linear-fractional composition operators

被引：55

作者：

Bourdon, PS ^{[1
]}

机构：

[1] Washington & Lee Univ, Lexington, VA 24450 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2003年 / 279卷 / 01期

关键词：

D O I：

10.1016/S0022-247X(03)00004-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We determine when two linear-fractional composition operators on the Hardy space H-2 belong to the same component in the collection of all composition operators on H-2. We show that two such composition operators in the same component may fail to have compact difference, which answers a question raised by Joel Shapiro and Carl Sundberg. (C) 2003 Elsevier Science (USA). All rights reserved.

引用

页码：228 / 245

页数：18

共 11 条

[1]

[Anonymous], THEORY H RHO SPACES

[2] COMPOSITION OPERATORS ISOLATED IN THE UNIFORM OPERATOR TOPOLOGY [J].