On y-numerical Radius and Its Stability  

作　　者：LIU Xiu-sheng 

机构地区：[1]Department of Mathematics and Physics,Huangshi Institute of Technology,Huangshi 435003,China

出　　处：《Chinese Quarterly Journal of Mathematics》2010年第4期559-564,共6页数学季刊（英文版）

基　　金：Supported by the Natural Science Foundation of Hubei Province（2004X157）

摘　　要：Let A be an n×n complex matrix,and let y =(α1,...,αn) be an n-dimensional complex vector.The y-numerical radius of A,denoted by ry(A),is defined follows:r_y(A) = max {|sum form i=1 to n α_ix_i~* Ax_i|:x_i~* x_i = 1,x_i ∈ C^n},where Cn is an n-dimensional vector space over complex field C.In this paper we studynorm properties and stability of y-numerical radius.Let A be an n×n complex matrix,and let y =（α1,...,αn） be an n-dimensional complex vector.The y-numerical radius of A,denoted by ry（A）,is defined follows：r_y（A） = max {｜sum form i=1 to n α_ix_i~＊ Ax_i｜：x_i~＊ x_i = 1,x_i ∈ C^n},where Cn is an n-dimensional vector space over complex field C.In this paper we studynorm properties and stability of y-numerical radius.

关 键 词：y-numerical radius SEMINORM generalized matrix norm 

分 类 号：O151.2[理学—数学]