研究了2-一致凸Banach空间的特征不等式问题.在2-一致凸Banach空间中,利用Banach空间理论的方法,结合2-一致凸Banach空间的定义,给出了2-一致凸Banach空间X的一个特征不等式,并将此结果推广到局部2-一致凸Banach空间的情形.
In this paper,the character inequality in the 2-uniformly convex Banach space is studied. By the method of Banach space theory, this problem is discussed in the 2- uniformly convex Banach space, a character inequality of the 2-uniformly convex Banach space is obtained by combining the definition of 2- unii:ormly convex Banach space. Moreover, a corresponding result in the locally 2-uniformly convex Banach space is established.