A proof of the Mazur-Ulam theorem

被引：61
|
作者：
Väisälä, J [1 ]
机构：
[1] Matemat Laitos, Helsinki 00014, Finland
来源：
AMERICAN MATHEMATICAL MONTHLY | 2003年 / 110卷 / 07期
关键词：
D O I：
10.2307/3647749
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
引用
收藏
页码：633 / 635
页数：3
相关论文
共 50 条
  • [31] On the Mazur–Ulam Theorem
    M. Aghajani
    Analysis Mathematica, 2018, 44 : 401 - 407
  • [32] Isometries, Mazur-Ulam theorem and Aleksandrov problem for non-Archimedean normed spaces
    Kubzdela, Albert
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2060 - 2068
  • [33] General Mazur-Ulam Type Theorems and Some Applications
    Molnar, Lajos
    OPERATOR SEMIGROUPS MEET COMPLEX ANALYSIS, HARMONIC ANALYSIS AND MATHEMATICAL PHYSICS, 2015, 250 : 311 - 342
  • [34] Mazur-Ulam type theorems for fuzzy normed spaces
    Font, J. J.
    Galindo, J.
    Macario, S.
    Sanchis, M.
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (08): : 4499 - 4506
  • [35] The Mazur-Ulam property for the space of complex null sequences
    Jimenez-Vargas, Antonio
    Morales-Campoy, Antonio
    Peralta, Antonio M.
    Isabel Ramirez, Maria
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (04): : 799 - 816
  • [36] Generalized-lush spaces and the Mazur-Ulam property
    Tan, Dongni
    Huang, Xujian
    Liu, Rui
    STUDIA MATHEMATICA, 2013, 219 (02) : 139 - 153
  • [37] On the Mazur-Ulam Theorem in Non-Archimedean Fuzzy Anti-2-Normed Spaces
    Kang, Dongseung
    FILOMAT, 2017, 31 (15) : 4915 - 4923
  • [38] The Mazur-Ulam property for commutative von Neumann algebras
    Cueto-Avellaneda, Maria
    Peralta, Antonio M.
    LINEAR & MULTILINEAR ALGEBRA, 2020, 68 (02): : 337 - 362
  • [39] GENERALIZATIONS OF ALESANDROV PROBLEM AND MAZUR-ULAM THEOREM FOR TWO-ISOMETRIES AND TWO-EXPANSIVE MAPPINGS
    Khodaei, Hamid
    Mohammadi, Abdulqader
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (03): : 771 - 782
  • [40] A note on the Mazur-Ulam property of almost-CL-spaces
    Tan, Dongni
    Liu, Rui
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 405 (01) : 336 - 341
12345