摘要
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.
出处
《内蒙古师范大学学报(自然科学汉文版)》
CAS
北大核心
2012年第6期582-584,590,共4页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(11061022)
内蒙古自然科学基金资助项目(2012MS1022)
关键词
2-一致凸
局部2-一致凸
特征不等式
2-uniformly convex Banach space
locally 2-uniformly convex Banach space
characterinequality