AUTOMATIC CONTINUITY FOR THE UNITARY GROUP

被引：0
|
作者：
Tsankov, Todor [1 ]
机构：
[1] Univ Paris 07, Inst Math Jussieu, F-75205 Paris 13, France
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2013年 / 141卷 / 10期
关键词：
Unitary group; automatic continuity;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that every homomorphism from the infinite-dimensional unitary or orthogonal group to a separable group is continuous.
引用
收藏
页码：3673 / 3680
页数：8
相关论文
共 50 条
  • [41] Modular group algebras whose group of unitary units is locally nilpotent
    Bovdi, V
    ACTA SCIENTIARUM MATHEMATICARUM, 2022, 88 (3-4): : 571 - 576
  • [42] Optimal Paths for Symmetric Actions in the Unitary Group
    Jorge Antezana
    Gabriel Larotonda
    Alejandro Varela
    Communications in Mathematical Physics, 2014, 328 : 481 - 497
  • [43] Modular group algebras whose group of unitary units is locally nilpotent
    V. Bovdi
    Acta Scientiarum Mathematicarum, 2022, 88 : 571 - 576
  • [44] On continuity of measurable group representations and homomorphisms
    Kuznetsova, Yulia
    STUDIA MATHEMATICA, 2012, 210 (03) : 197 - 208
  • [45] On the group with the same orders of Sylow normalizers as the finite projective special unitary group
    Jianxing Bi
    Science in China Series A: Mathematics, 2004, 47 : 801 - 811
  • [46] Automatic Continuity of Derivations on Semidirect Products of Banach Algebras
    Hamid Farhadi
    Hoger Ghahramani
    Bulletin of the Iranian Mathematical Society, 2021, 47 : 1925 - 1946
  • [47] Automatic continuity of derivations on C*-algebras and JB*-triples
    Peralta, Antonio M.
    Russo, Bernard
    JOURNAL OF ALGEBRA, 2014, 399 : 960 - 977
  • [48] BANACH MODULE VALUED SEPARATING MAPS AND AUTOMATIC CONTINUITY
    Mousavi, L.
    Sady, F.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2011, 37 (04): : 127 - 139
  • [49] Automatic continuity of dense range n-homomorphisms
    Zivari-Kazempour, Abbas
    Mewomo, Oluwatosin Temitope
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (02):
  • [50] Maximizing concave piecewise affine functions on the unitary group
    Gaubert, Stephane
    Qu, Zheng
    Sridharan, Srinivas
    OPTIMIZATION LETTERS, 2016, 10 (04) : 655 - 665
12345