遗传不可分解Banach空间的一些特征

摘要

In this paper we first discuss the relations between some G-M-type spaces,and the previous eight kinds of G-M-type Banach spaces are merged into four different kinds. Then we build a Generalized Operator Extension Theorem, and introduce the concept of complete minimal sequences. Some sufficient and necessary conditions under which a Banach space is a hereditarily indecomposable space are given. Finally,we give some characterizations of hereditarily indecomposable Banach Spaces.