ARENS REGULARITY AND THE AP(G) ALGEBRAS

被引:15
|
作者
FORREST, B
机构
关键词
ARENS REGULARITY; HERZ ALGEBRA; RADON-NIKODYM PROPERTY; LOCALLY COMPACT GROUP;
D O I
10.2307/2159946
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let G be a locally compact group. Let A(p)(G) denote the Herz algebra associated with 1 < p < infinity. We show that, for a large class of groups which contains every commutative group, A(p)(G) is Arens regular if and only if G is finite.
引用
收藏
页码:595 / 598
页数:4
相关论文
共 50 条
  • [1] Arens regularity and point Arens regularity of semigroup algebras
    Ramezani, R.
    Medghalchi, A. R.
    Laali, J.
    [J]. POSITIVITY, 2019, 23 (05) : 1215 - 1224
  • [2] Arens regularity and point Arens regularity of semigroup algebras
    R. Ramezani
    A. R. Medghalchi
    J. Laali
    [J]. Positivity, 2019, 23 : 1215 - 1224
  • [3] Arens regularity of AΦ(G)
    Dabra, Arvish
    Kumar, N. Shravan
    [J]. BANACH JOURNAL OF MATHEMATICAL ANALYSIS, 2024, 18 (03)
  • [4] Module Arens regularity for semigroup algebras
    Rezavand, Reza
    Amini, Massoud
    Sattari, Mohammad Hossein
    Bagha, Davood Ebrahimi
    [J]. SEMIGROUP FORUM, 2008, 77 (02) : 300 - 305
  • [5] On the Arens regularity of Frechet algebras and their biduals
    Alimohammadi, Z.
    Rejali, A.
    [J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (04)
  • [6] ARENS REGULARITY OF INVERSE SEMIGROUP ALGEBRAS
    Abtahi, F.
    Khodsiani, B.
    Rejali, A.
    [J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2014, 40 (06) : 1527 - 1538
  • [7] Module Arens regularity for semigroup algebras
    Reza Rezavand
    Massoud Amini
    Mohammad Hossein Sattari
    Davood Ebrahimi Bagha
    [J]. Semigroup Forum, 2008, 77 : 300 - 305
  • [8] Corrigendum to: Module Arens Regularity for Semigroup Algebras
    Reza Rezavand
    Massoud Amini
    Mohammad Hossein Sattari
    Davood Ebrahimi Bagha
    [J]. Semigroup Forum, 2009, 79 : 214 - 215
  • [9] Arens Regularity of Certain Class of Banach Algebras
    Sahleh, Abbas
    Zivari-Kazempour, Abbas
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [10] Concepts of Arens regularity for general measure algebras
    Laali, J
    Pym, J
    [J]. QUARTERLY JOURNAL OF MATHEMATICS, 1996, 47 (186): : 187 - 198