Spatiality of derivations of Frechet GB*-algebras

被引:1
|
作者
Weigt, Martin [1 ]
Zarakas, Ioannis [2 ]
机构
[1] Nelson Mandela Metropolitan Univ, Dept Math & Appl Math, Summerstrand Campus South, ZA-6031 Port Elizabeth, South Africa
[2] Univ Athens, Dept Math, Athens 15784, Greece
关键词
GB*-algebra; topological algebra; derivation;
D O I
10.4064/sm8231-2-2016
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We show that every continuous derivation of a countably dominated Frechet GB*-algebra A is spatial whenever A is additionally an AO*-algebra.
引用
收藏
页码:219 / 239
页数:21
相关论文
共 50 条
  • [31] On the bidual of quasinormable Frechet algebras
    Podara, Christina P.
    MATHEMATISCHE NACHRICHTEN, 2012, 285 (01) : 127 - 130
  • [32] Semisimple Segal Frechet algebras
    Abtahi, F.
    Rahnama, S.
    Rejali, A.
    PERIODICA MATHEMATICA HUNGARICA, 2015, 71 (02) : 146 - 154
  • [33] On Frechet algebras of power series
    Bhatt, SJ
    Patel, SR
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 66 (01) : 135 - 148
  • [34] IDEAL AMENABILITY OF FRECHET ALGEBRAS
    Ranjbari, A.
    Rejali, A.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2017, 79 (04): : 51 - 60
  • [35] Almost multipliers of Frechet algebras
    Zivari-Kazempour, A.
    JOURNAL OF ANALYSIS, 2020, 28 (04): : 1075 - 1084
  • [36] TOPOLOGICAL LOCALIZATION IN FRECHET ALGEBRAS
    REQUEJO, B
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 189 (01) : 160 - 178
  • [37] Maximality theorems for Frechet algebras
    Cuckovic, Z
    Rao, NV
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 134 (02) : 487 - 490
  • [38] ON THE MULTIPLIER ALGEBRA OF FRECHET ALGEBRAS
    Alimohammadi, Z.
    Rejali, A.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (04): : 125 - 132
  • [39] Frechet algebras of finite type
    Kopp, MK
    ARCHIV DER MATHEMATIK, 2004, 83 (03) : 217 - 228
  • [40] DERIVATIONS ON SUBTRACTION ALGEBRAS
    Ozturk, Mehmet Ali
    Ceven, Yilmaz
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 24 (04): : 509 - 515