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.
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.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
2005年第2期251-258,共8页
Acta Mathematica Sinica：Chinese Series
基金
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
关键词
齐性广义逆
度量广义逆
线性广义逆
Bounded homogeneous generalized inverse
Metric generalized inverse
Linear generalized inverse
