杨义新

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教授

博士生导师

硕士生导师

性别:男

毕业院校:纽约州立大学奥尔巴尔分校

学位:博士

所在单位:数学科学学院

学科:基础数学

电子邮箱:yangyixin@dlut.edu.cn

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Reducibility and unitary equivalence for a class of truncated Toeplitz operators on model spaces

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论文类型:期刊论文

发表时间:2018-01-01

发表刊物:NEW YORK JOURNAL OF MATHEMATICS

收录刊物:SCIE

卷号:24

页面范围:929-946

ISSN号:1076-9803

关键字:Reducing subspace; truncated Toeplitz operator; model space; unitary equivalence

摘要:In this paper we give a necessary and sufficient condition for the reducibility of a truncated Toeplitz operator on model spaces induced by a Blaschke product with two zeros. If the truncated Toeplitz operator is reducible, its restriction on a non-trivial reducing subspace is unitarily equivalent to another truncated Toeplitz operator induced by z.