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| 集值度量广义逆及其单值选择的判定准则特征 | |
| 引用本文： | 郑文晶,范鹰,王玉文. 集值度量广义逆及其单值选择的判定准则特征[J]. 数学的实践与认识, 2006, 36(7): 336-341 |
| 作者姓名： | 郑文晶 范鹰 王玉文 |
| 作者单位： | 1. 呼伦贝尔学院数学系,内蒙古,海拉尔,021000 2. 哈尔滨学院数学系,黑龙江,哈尔滨,150080 3. 哈尔滨师范大学数学系,黑龙江,哈尔滨,150080 |
| 基金项目： | 国家自然科学基金;黑龙江省自然科学基金;黑龙江省教育厅科学技术研究项目 |
| 摘 要： | 研究Banach空间中线性算子的集值度量广义逆及其单值选择问题,给出一个集值映射成为度量广义逆或单值算子为其单值选择的充要条件. |
| 关 键 词： | Banach空间 度量广义逆 单值选择 对偶映射 |
| 修稿时间： | 2004-12-27 |
Criteria of Set-valued Metric Generalized Inverse and Its Single-valued Selection |
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| ZHENG Wen-jing,FAN Ying,WANG Yu-wen. Criteria of Set-valued Metric Generalized Inverse and Its Single-valued Selection[J]. Mathematics in Practice and Theory, 2006, 36(7): 336-341 | |
| Authors: | ZHENG Wen-jing FAN Ying WANG Yu-wen |
| Abstract: | In this paper,a necessary and sufficient condition for a set-valued mapping to be a metric generalized inverse of a linear operator in Banach space is given,and a criterion for an operator to be the single-valued selection of the metric generalized inverse is also given in the end. |
| Keywords: | Banach space metric generalized inverse single-valued selection dual mapping |
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