加权移位算子的拓扑共轭分类

加权移位算子的拓扑共轭分类

侯秉喆, 曹阳

吉林大学数学研究所, 长春 130012

收稿日期:2007-11-12 修回日期:1900-01-01 出版日期:2008-01-26 发布日期:2008-01-26
通讯作者: 侯秉喆

Topologically Conjugate Classification of Weighted Backward Shift Operators

HOU Bingzhe, CAO Yang

Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2007-11-12 Revised:1900-01-01 Online:2008-01-26 Published:2008-01-26
Contact: HOU Bingzhe

摘要/Abstract

摘要： 考虑权为常数的单边加权移位算子, 利用相似性的一个结果, 给出了这类算子的完全拓扑共轭分类.

关键词: 拓扑共轭, 单边加权移位算子, 同胚

Abstract: Considering the weighted backward shift operators with constantweight and using a relative result on similarity, we gave a complete classification under the sense of topological conjugacy for this class of operators.

Key words: topological conjugacy, weighted backward shift operators, homeomorphisms

中图分类号:

O189.1

侯秉喆, 曹阳. 加权移位算子的拓扑共轭分类[J]. J4, 2008, 46(01): 43-44.

HOU Bingzhe, CAO Yang. Topologically Conjugate Classification of Weighted Backward Shift Operators[J]. J4, 2008, 46(01): 43-44.

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