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Banach空间中线性算子的集值度量右逆的表示及应用
引用本文:王玉文,王辉,王润杰.Banach空间中线性算子的集值度量右逆的表示及应用[J].应用泛函分析学报,1999(3).
作者姓名:王玉文  王辉  王润杰
作者单位:哈尔滨师范大学!黑龙江哈尔滨150080(王玉文,王润杰),哈尔滨工业大学!黑龙江哈尔滨150080(王辉)
基金项目:黑龙江省自然科学基金,省教委科研基金
摘    要:在自反 Banach空间中运用对偶映射方法给出闭稠定满射线性算子的集值度量右逆的表示.拓广了已有的相应结果.

关 键 词:自反Banach空间  度量右逆  凸二次规划

The Representation of the Set-valued Matric Right Inverse of Linear Operator in Banach Space and Its Applications
WANG Yu-wen,WANG Hui,WANG Run-jie.The Representation of the Set-valued Matric Right Inverse of Linear Operator in Banach Space and Its Applications[J].Acta Analysis Functionalis Applicata,1999(3).
Authors:WANG Yu-wen  WANG Hui  WANG Run-jie
Abstract:In this paper, the representation of the set-valued matric right inverse of closed linear surjective operator with dense domain in reflexive Banach space was given by means of the method of dual mapping of the space, which has extended the results given by Aubin J P1] and Wang Y W4].
Keywords:reflexive Banach space  metric right inverse  convex programming
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