The Similarity of Upper Triangular Block Operator Matriz

摘要：

Let R be a bounded linear operators acting on a complex separable infinite dimensional Hilbert space H with the matrix representations R=R11 R12 0 R22H1 H2 with respect to H=H1⊕H2,where H2=H1⊥ ,H1= spanker(λ,I-R)kn=1,R11=R|H1, R22 =R|H2. If the given T has the matrix representation T=R11 F 0 R22H1 H2 with respect to H = H1⊕H2 , F≠R, in this paper, we give a sufficient condition on T similar to R.

关键词： similarity block operator matriz upper triangular

作者: Fahui Zhai Weina Zhao

作者单位: Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, China

会议类型: 国际会议

会议名称: The Third International Workshop on Applied Matriz Theory(第三届国际矩阵分析与应用会议)

会议地点: 杭州

会议语种:英文

页码: 1415-1418

在线出版日期: 2009-07-09（万方平台首次上网日期，不代表论文的发表时间）