Banach空间中von Neumann-Jordan型常数的一些性质

Some Properties on von Neumann-Jordan Type Constants of Banach Spaces

该文主要给出von Neunann-Jordan型常数的一些性质.首先得到利用von NeumannJordan型常数来刻划一致非方的等价条件.其次介绍了von Neumann-Jordan型常数与正规结构的关系.最后介绍了C'_1(X)与其他空间常数之间的关系,例如C'_1(X)与C_1(X)之间的关系等等.

In this paper, the authors mainly give some properties ofvon Neumann-Jordan type constants. First, they characterize some equivalent conditions of uniformly non-square by yon Neumann-Jordan constants. Second, they discuss the relation between yon Neumann-Jordan type constant and normal structure. Finally, they give some relations among C1＇ （X）,C1 （X） and other constants.