Banach空间中一类集值度量广义逆的连续线性选择 |
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引用本文: | 王超,曲绍平,王玉文.Banach空间中一类集值度量广义逆的连续线性选择[J].数学的实践与认识,2009,39(24). |
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作者姓名: | 王超 曲绍平 王玉文 |
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作者单位: | 1. 哈尔滨师范大学数学学院曾远荣泛函分析研究中心,黑龙江,哈尔滨,150025 2. 黑龙江工程学院数学系,黑龙江,哈尔滨,150050 |
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基金项目: | 国家自然科学基金,黑龙江省教育厅科研项目 |
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摘 要: | 对于Banach空间中余一维闭值域有界线性算子的集值度量广义逆,给出其具有连续线性选择的充分必要条件.结果是对M.Z.Nashed与G.F.Votruba提出的研究问题的部分回答.
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关 键 词: | Banach空间 有界线性算子 度量广义逆 连续线性选择 |
The Linear Continuous Selection of a Class of Set-valued Metric Generalized Inverse in Banach Space |
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Abstract: | We discuss the problem of the set-valued metric generalized inverse of bounded linear operator with 1-codimensioned closed range in Banach space.And we prove the necessary and sufficient conditions of the set-valued metric generalized inverse with linear continuous selection.And our results partially solved the research problem raised by M.Z.Nashed and G.F.Votruba in 1]. |
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Keywords: | Banach space bounded linear operator metric generalized inverse linear continuous selection |
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