节点文献
关于带有完全对称函数的广义c-数值域
ON THE GENERALIZED c-NUMERICAL RANGE WITH THE COMPLETELY SYMMETRIC FUNCTION
【摘要】 对于c∈Cn和A∈Mn(C),记Hck(A)为A的带有完全对称函数的c-数值域.给出了在复平面上Hck(A)是线段的必要条件和是单点集的充分必要条件.
【Abstract】 For c∈Cn and A∈Mn(C), denote by Hck(A) the c- numerical range of A with the completely symmetric function Ck. A necessary condition for Hck(A) to be a line segment in the complex plane and necessary and sufficient conditions for Hck(A) to be a singleton set are given.
【关键词】 数值域;
完全对称函数;
线段;
单点集;
【Key words】 numerical range; completely symmetric function; line segment; singleton set;
【Key words】 numerical range; completely symmetric function; line segment; singleton set;
【基金】 国家自然科学基金!19671013
- 【文献出处】 北京师范大学学报(自然科学版) ,JOURNAL OF BEIJING NORMAL UNIVERSITY(NATURAL SCIENCE) , 编辑部邮箱 ,1997年03期
- 【分类号】O151.21
- 【下载频次】18