2-一致凸Banach空间的特征不等式  

A Character Inequality of the 2-Uniformly Convex Banach Space

作　　者：李婷婷[1] 乌日娜[1] 苏雅拉图[1] 

机构地区：[1]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《内蒙古师范大学学报（自然科学汉文版）》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)

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.

关 键 词：2-一致凸 局部2-一致凸 特征不等式 

分 类 号：O177.2[理学—数学]