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Banach空间中一类集值度量广义逆的连续选择
引用本文:曲绍平,王超,王玉文.Banach空间中一类集值度量广义逆的连续选择[J].数学的实践与认识,2009,39(23).
作者姓名:曲绍平  王超  王玉文
作者单位:1. 黑龙江工程学院数学系,黑龙江,哈尔滨,150050
2. 哈尔滨师范大学数学科学学院,曾远荣泛函分析研究中心,黑龙江,哈尔滨,150008
基金项目:国家自然科学基金,黑龙江省教育厅科研项目 
摘    要:讨论Banach空间中余一维闭值域有界线性算子的集值度量广义逆问题,在一定的条件下,给出该集值度量广义逆的连续单值选择的具体表达式,部分解决了M.Z.Nashed与G.F.Votruba提出的研究问题.

关 键 词:Banach空间  有界线性算子  度量广义逆  连续单值选择

The Continuous Selection of a Class of Set-valued Metric Generalized Inverse in Banach Space
QU Shao-ping,WANG Chao,WANG Yu-wen.The Continuous Selection of a Class of Set-valued Metric Generalized Inverse in Banach Space[J].Mathematics in Practice and Theory,2009,39(23).
Authors:QU Shao-ping  WANG Chao  WANG Yu-wen
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 get the specific presentation of the continuous single selection of the metric generalized inverse under some conditions and partially solved the research problem raised by M. Z. Nashed and G. F. Votruba.
Keywords:Banach space  bounded linear operator  metric generalized inverse  continuous single selection
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