文献类型：会议论文

英文题名：Metric generalized inverse of multi-valued linear operator in arbitrary Banach spaces

作者：Ni, Renxing

机构：[1]Shaoxing Univ, Dept Math, Zhejiang 312000, Peoples R China

会议论文集：7th International Conference on Matrix Theory and Its Applications in China

会议日期：JUL, 2006

会议地点：Chengdu, PEOPLES R CHINA

语种：英文

外文关键词：metric generalized inverse; multi-valued linear operator; least extremal solution; reflexive and strictly convex Banach space; generalized orthogonal decomposition theorem

外文摘要：The metric generalized inverse of multi-valued linear operator in arbitrary Banach spaces is inverstigated, characterizations of least extremal solutions in terms of metric operator parts and metric generalized inverses of multi-valued linear operator are given by the methods of geometry of Banach spaces. These results indeed extend and improve the corresponding works done by Y. W. Wang, J. Liu (2005) and others from reflexive strictly convex Banach space to the general Banach space.