On the Origin and Numerical Range of Bounded Operators |
| |
Authors: | Wu Xiao Hong Huang Jun Jie Alatancang |
| |
Institution: | 1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P. R. China;2. Department of Mathematics, Hohhot Minzu College, Hohhot 010051, P. R. China |
| |
Abstract: | Numerical range has an important applications on spectrum distribution of operators. In this paper, we devoted to characterizing operators whose numerical range contains the origin. Some necessary and sufficient conditions are given by operator decomposition technique and constructive methods. Furthermore, the closeness of the numerical range of a given operator is also investigated. |
| |
Keywords: | Bounded linear operator numerical range origin |
本文献已被 SpringerLink 等数据库收录! |
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
| 点击此处可从《数学学报(英文版)》下载免费的PDF全文 |