The Reducibility of Truncated Toeplitz Operators
发布时间：2020-08-13
点击次数：
- 论文类型：
- 期刊论文
- 发表时间：
- 2020-07-24
- 发表刊物：
- COMPLEX ANALYSIS AND OPERATOR THEORY
- 收录刊物：
- SCIE
- 文献类型：
- J
- 卷号：
- 14
- 期号：
- 6
- ISSN号：
- 1661-8254
- 关键字：
- Reducibility; Truncated Toeplitz operator; Model space
- 摘要：
- Let T be a contraction on the Hilbert space H and S a minimal isometric dilation of T. In this paper, we show that every projection in {T}' can be extended to a projection in {S}'. Using this result, a sufficient condition for reducibility of A(Bn)theta, where B-n is a finite Blaschke product with order n, is given. In particular, we determine when A(Bn)(theta) is reducible in two special cases. One case is that n = 2, 3 and the other case is that B-n = z(n) (n is an element of N) and theta is a singular inner function.
- 第一作者
- Li, Yufei
- 合写作者
- Yang, Yixin,Lu, Yufeng
- 通讯作者
- Yang, YX (corresponding author), Dalian Univ Technol, Dept Math Sci, Dalian 116024, Liaoning, Peoples R China.