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

On a New Geometric Constant Related to the Modulus of Smoothness of a Banach Space
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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. 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.
作者 Yasuji TAKAHASHI Mikio KATO
机构地区 Department of System Engineering Department of Mathematics
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第9期1526-1538,共13页 数学学报（英文版）
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)
关键词 Constant A（X） von Neumann-Jordan constant James constant modulus of smoothness modulus of convexity uniform non-squareness Constant A（X）, von Neumann-Jordan constant, James constant, modulus of smoothness modulus of convexity, uniform non-squareness
分类号 O177.2 [理学—基础数学] O174.41 [理学—基础数学]
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Acta Mathematica Sinica,English Series
2014年 第9期

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