摘要
给出Fréchet空间中有界线性算子存在唯一的有界外逆的等价条件,并且指出Banach空间中任意非零有界线性算子的外逆均存在,而其内逆不一定存在.
In this paper,we have given the condition of equivalence which bounded linear operators exist uniqueness bounded outer inverse in Frechet space. We point out the outer inverse of random bounded linear operators must necesscrily exist and its inner inverse is not necessarily so.
出处
《哈尔滨师范大学自然科学学报》
CAS
2009年第2期23-25,共3页
Natural Science Journal of Harbin Normal University
基金
国家自然科学基金资助项目(10671049)
黑龙江省教育厅科学技术资助项目(11531248)
关键词
BANACH空间
内逆
外逆
拓扑可补
Banach Space
Inner Inverse
Outer Inverse
Topological complement
