On the smoothness of normed spaces

被引:0
作者
Józef Banaś
Justyna Ochab
Tomasz Zając
机构
[1] Rzeszów University of Technology,Faculty of Mathematics and Applied Physics
来源
Annals of Functional Analysis | 2024年 / 15卷
关键词
Normed space; Strict convexity; Uniform convexity; Smoothnes; Uniform smoothness; Modulus of convexity; Modulus of smoothness; 46B20;
D O I
暂无
中图分类号
学科分类号
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.
引用
收藏
相关论文
共 50 条
[41]   THE FERMAT-TORRICELLI PROBLEM IN NORMED SPACES [J].
Ilyukhin, Daniil A. .
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2024, 39 (05) :943-958
[42]   On Wigner's theorem in smooth normed spaces [J].
Ilisevic, Dijana ;
Turnsek, Aleksej .
AEQUATIONES MATHEMATICAE, 2020, 94 (06) :1257-1267
[43]   Projections in normed linear spaces and sufficient enlargements [J].
M.I. Ostrovskii .
Archiv der Mathematik, 1998, 71 :315-324
[44]   Analogs of Markov's Inequality in Normed Spaces [J].
V. I. Skalyga .
Mathematical Notes, 2004, 75 :739-743
[45]   Characterization of a generalized triangle inequality in normed spaces [J].
Dadipour, Farzad ;
Moslehian, Mohammad Sal ;
Rassias, John M. ;
Takahasi, Sin-Ei .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (02) :735-741
[46]   Analogs of Markov's inequality in normed spaces [J].
Skalyga, VI .
MATHEMATICAL NOTES, 2004, 75 (5-6) :739-743
[47]   On Boundary Value Problems in Normed Fuzzy Spaces [J].
Farajzadeh, Ali ;
Hosseinpour, Azadeh ;
Kumam, Wiyada .
THAI JOURNAL OF MATHEMATICS, 2022, 20 (01) :305-313
[48]   Extremal volume ratios for the sums of normed spaces [J].
Khrabrov A.I. .
Journal of Mathematical Sciences, 2001, 105 (5) :2485-2494
[49]   Periodic Besov Spaces and Generalized Moduli of Smoothness [J].
S. Yu. Artamonov ;
K. V. Runovskii ;
H.-J. Schmeisser .
Mathematical Notes, 2020, 108 :603-607
[50]   On Bivariate Smoothness Spaces Associated with Nonlinear Approximation [J].
S. Dekel ;
D. Leviatan ;
M. Sharir .
Constructive Approximation, 2004, 20 :625-646