| 赋范空间中连续函数的最值性定理 |
| |
| 引用本文： | 王海英.赋范空间中连续函数的最值性定理[J].安顺师范高等专科学校学报,2008,10(2):75-76. |
| |
| 作者姓名： | 王海英 |
| |
| 作者单位： | 安顺学院数学系,贵州安顺561000 |
| |
| 摘 要： | 文章讨论了有限维赋范空间中连续函数取得最值的一个充分条件,以及利用紧性讨论了无穷维赋范空间中连续函数的最值性定理。
|
| 关 键 词： | 紧集 有界闭集 |
The Most value theorem of the continuous function on norm space |
| |
| Wang Haiying.The Most value theorem of the continuous function on norm space[J].Journal of Anshun Teachers College,2008,10(2):75-76. |
| |
| Authors: | Wang Haiying |
| |
| Institution: | Wang Haiying (Department of mathematics, Anshun college, Anshun 561000, Ouizhou, China) |
| |
| Abstract: | In the analysis, the continuous function on the closed interval can obtain the maximum and the minimum. In this paper, firstly we give a sufficient condition of the continuous function on the closed and bounded set of the finite dimensional norm space to obtain the most value theorem; Secondly, using the compactness, we discuss the most value theorem of the continuous function on the infinite dimensional norm space. |
| |
| Keywords: | Compact set Closed and bounded set |
| 本文献已被 维普 万方数据 等数据库收录！ |
|
