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.

引用

页码：1385 / 1390

页数：6

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