On the smoothness of normed spaces

被引：2
作者：
Banas, Jozef [1 ]
Ochab, Justyna [1 ]
Zajac, Tomasz [1 ]
机构：
[1] Rzeszow Univ Technol, Fac Math & Appl Phys, Al Powstancow Warszawy 8, PL-35959 Rzeszow, Poland
来源：
ANNALS OF FUNCTIONAL ANALYSIS | 2024年 / 15卷 / 01期
关键词：
Normed space; Strict convexity; Uniform convexity; Smoothnes; Uniform smoothness; Modulus of convexity; Modulus of smoothness; UNIFORM CONVEXITY; MODULI; CONSTANT;
D O I：
10.1007/s43034-023-00310-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of the paper is to discuss and clarify some concepts of the geometric theory of normed spaces. We mainly intend to present recent results concerning the concept of smoothness of normed spaces in connection with the concepts of the strict and uniform convexity of those spaces.
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页数：15
相关论文
共 42 条
[1]   Some Properties Concerning the JL(X) and ΥJ(X) Which Related to Some Special Inscribed Triangles of Unit Ball [J].
Ahmad, Asif ;
Fu, Yuankang ;
Li, Yongjin .
SYMMETRY-BASEL, 2021, 13 (07)
[2]   MODULI IN NORMED LINEAR-SPACES AND CHARACTERIZATION OF INNER PRODUCT-SPACES [J].
ALONSO, J ;
ULLAN, A .
ARCHIV DER MATHEMATIK, 1992, 59 (05) :487-495
[3]  
[Anonymous], 1982, Notas de Matematica 86, Mathematics Studies
[4]  
Bana J., 1997, Rend. Circ. Mat. Palermo Serie II, V46, P395, DOI [10.1007/BF02844281, DOI 10.1007/BF02844281]
[5]  
BANAS J, 1986, B POLISH ACAD SCI MA, V34, P287
[6]  
Banas J., 1990, Comment. Math. Univ. Carolinae, V31, P445
[7]  
Banas J., 1993, COMMENT MATH U CAROL, V34, P47
[8]   Convexity, smoothness and moduli [J].
Baronti, Marco ;
Papini, Pier Luigi .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (06) :2457-2465
[9]  
Bernstein F., 1915, Math. Ann., V76, P514
[10]  
Clarkson JA, 1936, T AM MATH SOC, V40, P396
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