Generalized notions of amenability and character amenability of a certain class of banach algebras

被引：0
|
作者：
Nahrekhalaji, H. Sadeghi [1 ]
机构：
[1] Young Researchers and Elite Club, Fereydan Branch, Islamic Azad University, Isfahan, Iran
来源：
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2020年 / 82卷 / 04期
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Suppose A is a Banach algebra and ɛ ∈ B 1(0) (the closed unit ball of A). In this paper we generalize the notions of amenability, φ-amenability, φ-contractibility, biprojectivity and biflatness of a new Banach algebra Aɛ. Moreover we investigate φ-pseudo amenability, φ-Johnson amenability, φ-inner amenability, φ-biflatness and φ-biprojectivity of AΕ. © 2020, Politechnica University of Bucharest. All rights reserved.
引用
收藏
页码：161 / 170
相关论文
共 50 条
  • [41] Homomorphism weak amenability of certain Banach algebras
    Bami, Mahmood Lashkarizadeh
    Sadeghi, Hamid
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2018, 9 (01): : 235 - 245
  • [42] Module johnson amenability of certain banach algebras
    Sahami, Amir
    Shariati, Seyedeh Fatemeh
    Pourabbas, Abdolrasoul
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2021, 83 (02): : 165 - 176
  • [43] BIFLATNESS, BIPROJECTIVITY, φ-AMENABILITY AND φ-CONTRACTIBILITY OF A CERTAIN CLASS OF BANACH ALGEBRAS.
    Khoddami, A. R.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (02): : 169 - 178
  • [44] MODULE JOHNSON AMENABILITY OF CERTAIN BANACH ALGEBRAS
    Sahami, Amir
    Shariati, Seyedeh Fatemeh
    Pourabbas, Abdolrasoul
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (02): : 165 - 176
  • [45] Generalized notions of amenability
    Ghahramani, F
    Loy, RJ
    JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 208 (01) : 229 - 260
  • [46] Amenability and Weak Amenability of Some Banach Algebras
    Gillan, Behrooz Olfatian
    Omidi, Mohammad Reza
    Sahami, Amir
    Zamani, Ali
    THAI JOURNAL OF MATHEMATICS, 2023, 21 (01): : 171 - 181
  • [47] On Weak Generalized Amenability of Triangular Banach Algebras
    Mosadeq, M.
    JOURNAL OF MATHEMATICAL EXTENSION, 2014, 8 (03) : 27 - 39
  • [48] On φ-amenability of Banach algebras
    Kaniuth, Eberhard
    Lau, Anthony T.
    Pym, John
    MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2008, 144 : 85 - 96
  • [49] φ-AMENABILITY OF BANACH ALGEBRAS
    Ghaffari, A.
    Alinejad, A.
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2012, 38 (03) : 725 - 738
  • [50] Character Connes-amenability of dual Banach algebras
    Behrouz Shojaee
    Massoud Amini
    Periodica Mathematica Hungarica, 2017, 74 : 31 - 39
12345