| Banach空间中线性算子的齐性广义逆 |
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| 引用本文： | 王玉文,李双臻.Banach空间中线性算子的齐性广义逆[J].数学学报,2005,48(2):251-258. |
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| 作者姓名： | 王玉文 李双臻 |
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| 作者单位： | 哈尔滨师范大学数学系,哈尔滨150080 |
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| 基金项目： | 国家自然科学基金资助项目(10471032)
黑龙江省海外学人科研基金资助项目 |
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| 摘 要： | 本文首先在Banach空间内引进拟线性投影算子的概念,由此给出Banach空 间内线性算子的齐性广义逆的统一定义。齐性广义逆包含线性广义逆、单值度量广义 逆.本文证得齐性广义逆存在的充分必要条件.
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| 关 键 词： | 齐性广义逆 度量广义逆 线性广义逆 |
Homogeneous Generalized Inverse of Linear Operators in Banach Spaces |
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| Yu Wen WANG Shuang Zhen LI.Homogeneous Generalized Inverse of Linear Operators in Banach Spaces[J].Acta Mathematica Sinica,2005,48(2):251-258. |
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| Authors: | Yu Wen WANG Shuang Zhen LI |
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| Affiliation: | Yu Wen WANG Shuang Zhen LI Department of Mathematics, Harbin Normal University, Harbin 150080, P. R. China |
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| Abstract: | In this paper, the concept of quasi-linear projector is introduced in Banach space, and a unified definition for homogeneous generalized inverse of linear operators in Banach space is thus given. The homogeneous generalized inverses contain the bounded linear generalized invenses and the single valued metric generalized inverses. A unified criterion for the existence of the homogeneous generalized inverse of a linear operaor in Banach space is also given. |
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| Keywords: | Bounded homogeneous generalized inverse Metric generalized inverse Linear generalized inverse |
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