| 两个有界线性算子的联合数值域 |
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| 引用本文： | 曹广福.两个有界线性算子的联合数值域[J].哈尔滨建筑大学学报,1991(2). |
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| 作者姓名： | 曹广福 |
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| 作者单位： | 哈尔滨建筑工程学院数学教研室 |
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| 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.
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| 关 键 词： | Hilbert空间 线性算子对 联合数值域 凸集 |
The Joint Numerical Range of Two Bounded Linear Operators |
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| Cao Guangfu.The Joint Numerical Range of Two Bounded Linear Operators[J].Journal of Harbin University of Civil Engineering and Architecture,1991(2). |
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| Authors: | Cao Guangfu |
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| Affiliation: | Cao Guangfu |
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| Abstract: | 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. |
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| Keywords: | Hilbert space a pair of linear operators joint numerical range convex set |
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