On a New Geometric Constant Related to the Modulus of Smoothness of a Banach Space

作     者：Yasuji TAKAHASHI Mikio KATO 

作者机构：Department of System EngineeringOkayama Prefectural University Department of MathematicsFaculty of EngineeringShinshu University 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2014年第30卷第9期

页      面：1526-1538页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：The second author is supported in part by Grant-in-Aid for Scientific Research Japan Society for the Promotionof Science(Grant No.23540216) 

主　　题：Constant A（X） von Neumann-Jordan constant James constant modulus of smoothness modulus of convexity uniform non-squareness 

摘      要：We shall introduce a new geometric constant A（X） of a Banach space X, which is closely related to the modulus of smoothness px （T）, and investigate it in relation with the constant As （X） by Baronti et al., the von Neumann-Jordan constant CNj（X） and the James constant J（X）. A sequence of recent results on these constants as well as some other geometric constants will be strengthened and improved.