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.
引用
收藏
页数：15
相关论文
共 50 条
  • [31] Residuality Properties of Certain Classes of Convex Functions on Normed Linear Spaces
    Barshad, Kay
    Reich, Simeon
    Zaslavski, Alexander J.
    JOURNAL OF CONVEX ANALYSIS, 2022, 29 (03) : 795 - 806
  • [32] k-Normed topological vector spaces
    S. V. Lyudkovskiî
    Siberian Mathematical Journal, 2000, 41 : 141 - 154
  • [33] A Variant of Wigner's Theorem in Normed Spaces
    Ilisevic, Dijana
    Turnsek, Aleksej
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2021, 18 (04)
  • [34] Pyramids in three-dimensional normed spaces
    Makecv V.V.
    Journal of Mathematical Sciences, 2009, 161 (3) : 427 - 430
  • [35] On Wigner’s theorem in smooth normed spaces
    Dijana Ilišević
    Aleksej Turnšek
    Aequationes mathematicae, 2020, 94 : 1257 - 1267
  • [36] ON LINEAR FUNCTIONAL EQUATIONS AND COMPLETENESS OF NORMED SPACES
    Fosner, Ajda
    Ger, Roman
    Gilanyi, Attila
    Moslehian, Mohammad Sal
    BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2013, 7 (01): : 196 - 200
  • [37] A NOTE ON APPROXIMATION OF CONTINUOUS FUNCTIONS ON NORMED SPACES
    Mytrofanov, M. A.
    Ravsky, A., V
    CARPATHIAN MATHEMATICAL PUBLICATIONS, 2020, 12 (01) : 107 - 110
  • [38] Extremally distant normed spaces with additional restrictions
    F. L. Bakharev
    Mathematical Notes, 2006, 79 : 314 - 326
  • [39] A Variant of Wigner’s Theorem in Normed Spaces
    Dijana Ilišević
    Aleksej Turnšek
    Mediterranean Journal of Mathematics, 2021, 18
  • [40] Duality of κ-normed topological vector spaces and their applications
    Ludkovsky S.V.
    Journal of Mathematical Sciences, 2009, 157 (2) : 367 - 385
12345