APPROXIMATE AMENABILITY MODULO AN IDEAL OF BANACH ALGEBRAS

被引：0
|
作者：
Rahimi, Hamidreza [1 ]
Soltani, Afsaneh [1 ]
机构：
[1] Islamic Azad Univ, Cent Tehran Branch, Dept Math, Fac Sci, POB 13185-768, Tehran, Iran
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2016年 / 78卷 / 03期
关键词：
Amenability modulo an ideal; Approximate amenability modulo an ideal; Semigroup algebra; group congruence; GENERALIZED NOTIONS; SEMIGROUPS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we introduce and study the concept of approximate amenability (contractibility) modulo an ideal of Banach algebras. Based on the obtained results, we prove that the weighted semigroup algebra l(1) (S, omega) is approximately amenable modulo an ideal if and only if S is amenable and omega(sigma) is diagonally bounded where omega(sigma) is the induced weight on S/sigma for the least group congruence sigma on S.
引用
收藏
页码：234 / 241
页数：8
相关论文
共 50 条
  • [1] Approximate amenability modulo an ideal of Banach algebras
    Rahimi, Hamidreza
    Soltani, Afsaneh
    [J]. UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2016, 78 (03): : 233 - 240
  • [2] Amenability and Contractibility Modulo an Ideal of Banach Algebras
    Rahimi, Hamidreza
    Tahmasebi, Elham
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [3] ON APPROXIMATE IDEAL AMENABILITY IN BANACH ALGEBRAS
    Mewomo, O. T.
    [J]. ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2010, 56 (01): : 199 - 208
  • [4] IDEAL AMENABILITY AND APPROXIMATE IDEAL AMENABILITY OF MATRIX BANACH ALGEBRAS
    Habibian, F.
    Samea, H.
    Rejali, A.
    [J]. PROCEEDINGS OF THE ROMANIAN ACADEMY SERIES A-MATHEMATICS PHYSICS TECHNICAL SCIENCES INFORMATION SCIENCE, 2011, 12 (03): : 173 - 178
  • [5] APPROXIMATE IDEAL AMENABILITY OF BANACH ALGEBRAS
    Gordji, Madjid Eshaghi
    Jabbari, Ali
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2012, 74 (02): : 57 - 64
  • [6] A Note on Amenability Modulo an Ideal of Unitial Banach Algebras
    Rahimi, H. R.
    Tahmasebi, E.
    [J]. JOURNAL OF MATHEMATICAL EXTENSION, 2015, 9 (01) : 13 - 21
  • [7] CHARACTER AMENABILITY MODULO AN IDEAL, APPROXIMATE CHARACTER AMENABILITY MODULO AN IDEAL
    Gholami, Rahmatollah
    Rahimi, Hamidreza
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 10 (05): : 54 - 64
  • [8] APPROXIMATE IDEAL CONNES AMENABILITY OF DUAL BANACH ALGEBRAS AND IDEAL CONNES AMENABILITY OF DISCRETE BEURLING ALGEBRAS
    Minapoor, A.
    [J]. EURASIAN MATHEMATICAL JOURNAL, 2020, 11 (02): : 72 - 85
  • [9] AMENABILITY MODULO AN IDEAL OF FRECHET ALGEBRAS
    Rahnama, S.
    Rejali, A.
    [J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (02): : 125 - 138
  • [10] ON IDEAL AMENABILITY IN BANACH ALGEBRAS
    Mewomo, O. T.
    [J]. ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2010, 56 (02): : 273 - 278
12345