Some New James Type Geometric Constants in Banach Spaces

被引：0
作者：
Chen, Bingren [1 ]
Yang, Zhijian [1 ]
Liu, Qi [1 ]
Li, Yongjin [1 ]
机构：
[1] Sun Yat Sen Univ, Sch Math, Guangzhou 510275, Peoples R China
来源：
SYMMETRY-BASEL | 2022年 / 14卷 / 02期
关键词：
Banach spaces; geometric constants; normal structure; SMOOTHNESS;
D O I：
10.3390/sym14020405
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We will introduce four new geometric constants closely related to the James constant J(X), which have symmetric structure, along with a discussion on the relationships among them and some other well-known geometric constants via several inequalities, together with the calculation of several values on some specific spaces. In addition, we will characterize geometric properties of J1(X), such as uniform non-squareness and uniformly normal structure.
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页数：16
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