摘要
研究Banach空间中线性算子的集值度量广义逆及其单值选择问题,给出一个集值映射成为度量广义逆或单值算子为其单值选择的充要条件.
In this paper, a necessary and sufficient condition for a set-valued mapping to be a metric generalized inverse of a linear operator in Banach space is given, and a criterion for an operator to be the singlevalued selection of the metric generalized inverse is also given in the end.
出处
《数学的实践与认识》
CSCD
北大核心
2006年第7期336-341,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10471032)
黑龙江省自然科学基金(A02004-091)
黑龙江省教育厅科研基金(0553024)
关键词
Bamch空间
度量广义逆
单值选择
对偶映射
Banach space
metric generalized inverse
single-valued selection
dual mapping
