y-值半径与其稳定性

数学季刊 ›› 2010, Vol. 25 ›› Issue (4): 559-564.

y-值半径与其稳定性

Department of Mathematics and Physics, Huangshi Institute of Technology

收稿日期:2006-05-08 出版日期:2010-12-30 发布日期:2023-05-18
作者简介: LIU Xiu-sheng(1960-), male, native of Daye, Hubei, a professor of Huangshi Institute of Technology, engages in algebra.
基金资助:
Supported by the Natural Science Foundation of Hubei Province(2004X157)；

On y-numerical Radius and Its Stability

Department of Mathematics and Physics, Huangshi Institute of Technology

Received:2006-05-08 Online:2010-12-30 Published:2023-05-18
About author: LIU Xiu-sheng(1960-), male, native of Daye, Hubei, a professor of Huangshi Institute of Technology, engages in algebra.
Supported by:
Supported by the Natural Science Foundation of Hubei Province(2004X157)；

摘要/Abstract

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 r_y(A), is defined follows: r_y(A) = max {..., x_i= 1,x_i ∈ Cⁿ}, where Cn is an n-dimensional vector space over complex field C. In this paper we study norm properties and stability of y-numerical radius.

关键词: y-numerical radius, seminorm, generalized matrix norm

Abstract: 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 r_y(A), is defined follows: r_y(A) = max {..., x_i= 1,x_i ∈ Cⁿ}, where Cn is an n-dimensional vector space over complex field C. In this paper we study norm properties and stability of y-numerical radius.

Key words: y-numerical radius, seminorm, generalized matrix norm

中图分类号:

O151.21

刘修生. y-值半径与其稳定性[J]. 数学季刊, 2010, 25(4): 559-564.

LIU Xiu-sheng. On y-numerical Radius and Its Stability [J]. Chinese Quarterly Journal of Mathematics, 2010, 25(4): 559-564.

[1]	张晓燕. Y-数值半径的范数性质[J]. 数学季刊, 2013, 28(1): 69-76.
[2]	张勤海. Finite Groups with only S-seminormal or Selfnormal Subgroups[J]. 数学季刊, 1996, 11(1): 1-5.