| 无穷维赋范线性空间上单的无界线性算子的存在性 |
| |
| 引用本文： | 崔秀新.无穷维赋范线性空间上单的无界线性算子的存在性[J].烟台大学学报(自然科学与工程版),2007,20(4):248-249. |
| |
| 作者姓名： | 崔秀新 |
| |
| 作者单位： | 烟台大学,数学与信息科学学院,山东,烟台,264005 |
| |
| 基金项目： | 致谢 衷心感谢李德生教授的帮助. |
| |
| 摘 要： | 利用Zorn引理证明了任何无穷维赋范线性空间上都存在单的无界线性算子,从而得出Banach空间上的具有闭的零子空间的线性算子未必有界.
|
| 关 键 词： | Zorn引理 赋范线性空间 单的无界线性算子 零子空间 |
| 文章编号： | 1004-8820（2007）04-0248-02 |
| 收稿时间： | 2006-05-11 |
| 修稿时间： | 2006年5月11日 |
Existence of Unbounded Linear Injector on any Infinite Dimensional Normed Space |
| |
| CUI Xiu-xin.Existence of Unbounded Linear Injector on any Infinite Dimensional Normed Space[J].Journal of Yantai University(Natural Science and Engineering edirion),2007,20(4):248-249. |
| |
| Authors: | CUI Xiu-xin |
| |
| Institution: | School of Mathematics and Informational Science,Yantai University, Yantai 264005, China |
| |
| Abstract: | By Zorn lemma,it has been proved that there is an unbounded linear injector on any infinite dimensional normed space,therefore it gives that a linear operator which has closed null subspace on Banach space is sometimes unbounded and sometimes bounded. |
| |
| Keywords: | Zorn lemma linear normed space unbounded linear injector null subspace |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
