About Operator Weighted Shift

被引：0
|
作者：
Chun Lan JIANG Department of Mathematics
机构：
来源：
ActaMathematicaSinica(EnglishSeries) | 2007年 / 23卷 / 08期
关键词：
Operator weighted shift; Strongly irriducible operator; Similarity; Commutant; Jacobson radical;
D O I：
暂无
中图分类号：
O177.1 [希尔伯特空间及其线性算子理论];
学科分类号：
070104 ;
摘要：
Let H be a complex seperable Hilbert space and L(H)denote the collection of boundedlinear operators on H.For an operator in L(H),rad{A}′ denotes the Jacobson radical of thecommutant of A.This paper characterizes the similarity of strongly irreducible operator weighted shiftin terms of {A}′/rad{A}′.Moreover,we suggest some ways to determine when an operator weightedshift is strongly irreducible and when its commutant is commutative.
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页码：1385 / 1390
页数：6
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