Linear operator preserving the Quadratic Numerical Range of Block Operator Matriz

摘要：

Let Mm and M m×n denote the algebras of m×m and m × n complex matrices, respectively. Let mnk=Γ:Γ=(ABCD),A∈Mk,B∈Mk×(n-k),C∈M(n-k)×k,D∈Mn-k,W2(Γ)denote the quadratic numerical range of 2×2 block operator matrix r in Mnk,Φ be the linear operator on Mnk satisfying W2(Φ(Γ))= W2(Γ)for all Γ ∈ Mnk. In this paper, we characterize those linear operators Φ on Mnk preserving the quadratic numerical range of block operator matrix in Mnk under certain conditions.

关键词： block operator matriz quadratic numerical range preserving the quadratic numerical range

作者: Fahui Zhai Ping Liu Lihong Sun

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

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: 1297-1300

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）