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.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] On Some Geometric Constants in Banach Spaces
    Amini-Harandi, A.
    Rahimi, M.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (04)
  • [2] On Some Geometric Constants in Banach Spaces
    A. Amini-Harandi
    M. Rahimi
    Mediterranean Journal of Mathematics, 2019, 16
  • [3] An inequality between the James and James type constants in Banach spaces
    Wang, Fenghui
    Yang, Changsen
    STUDIA MATHEMATICA, 2010, 201 (02) : 191 - 201
  • [4] ON JAMES TYPE CONSTANTS AND THE NORMAL STRUCTURE IN BANACH SPACES
    Zuo, Ziian-Fei
    MATHEMATICAL INEQUALITIES & APPLICATIONS, 2020, 23 (01): : 341 - 350
  • [5] Some Geometric Constants Related to the Midline of Equilateral Triangles in Banach Spaces
    Chen, Bingren
    Yang, Zhijian
    Liu, Qi
    Li, Yongjin
    SYMMETRY-BASEL, 2022, 14 (02):
  • [6] On a general class of geometric constants and normal structure in Banach spaces
    Dinarvand, Mina
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2025, 27 (01)
  • [7] Geometric Constants in Banach Spaces Related to the Inscribed Quadrilateral of Unit Balls
    Ahmad, Asif
    Liu, Qi
    Li, Yongjin
    SYMMETRY-BASEL, 2021, 13 (07):
  • [8] New Geometric Constants in Banach Spaces Related to the Inscribed Equilateral Triangles of Unit Balls
    Fu, Yuankang
    Liu, Qi
    Li, Yongjin
    SYMMETRY-BASEL, 2021, 13 (06):
  • [9] On Some Skew Constants in Banach Spaces
    Fu, Yuankang
    Yang, Zhijian
    Li, Yongjin
    Liu, Qi
    KYUNGPOOK MATHEMATICAL JOURNAL, 2023, 63 (02): : 199 - 223
  • [10] On some geometric parameters in Banach spaces
    Gao, Ji
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 334 (01) : 114 - 122
12345