两个有界线性算子的联合数值域  

The Joint Numerical Range of Two Bounded Linear Operators

作　　者：曹广福[1] 

机构地区：[1]哈尔滨建筑工程学院数学教研室

出　　处：《哈尔滨建筑工程学院学报》1991年第2期105-109,共5页

摘　　要：本文主要讨论两个有界线性算子的联合数值域的凸性,对具有凸的联合数值域的算子对给了一个必要性条件.特别地,对二维Hilbert 空间上算子对的联合数值域之凸性给出了充要条件.The main objective of this paper is to study the convexity of the joint numericalrange of two bounded linear operators and give a necessary condition for a pair ofoperators with convex joint numerical range.In particular,the paper shows a suffi-cient and necessary condition for the convexity of the joint numerical range of a pairof operators on 2-dim.Hilbert space.

关 键 词：有界线 算子 联合数值域 凸集 

分 类 号：O177.1[理学—数学]