Strongly Cyclic and Strongly Irreducible Decomposition

作     者：纪友清 韩黎明 JI Youqing;HAN Liming

作者机构：DepartmentofMathematicsJilinUniversityChangchun130012 SectionofMathematicsTechnologyCollegeofPLAArmouredForceChangchun130117 

出 版 物：《Northeastern Mathematical Journal》 (东北数学（英文版）)

年 卷 期：2001年第17卷第4期

页      面：449-460页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The NSF (l990101l) of China 

主　　题：strictly cyclic weighted shift strongly irreducible (SI) decomposition 

摘      要：Let W be an injective unilateral weighted shift, and let W(n) be the orthogonal direct sum of n copies of W. In this paper, we prove that, if the commutant of W is strictly cyclic, then W(n) has a unique (SI) decomposition with respect to similarity for every natural number n.