Spectrum, homomorphisms and multipliers of Lau product of Banach algebras

被引：0
|
作者：
Valaei, Mohammad [1 ]
Zivari-Kazempour, Abbas [1 ]
机构：
[1] Ayatollah Borujerdi Univ, Dept Math, Borujerd, Iran
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2024年 / 53卷 / 03期
关键词：
spectrum; homomorphisms; multipliers; Lau product; faithful; semisimple; AMENABILITY; BIPROJECTIVITY; BIFLATNESS;
D O I：
10.15672/hujms.1287866
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given Banach algebras A , B and a continuous homomorphism theta : B -+ A with II theta II < 1 , we obtain characterization of spectrum, homomorphisms and multipliers of A x B-o , which is a strongly splitting Banach algebra extension of B by A . Also we characterize the semisimplicity of these algebras.
引用
收藏
页码：777 / 787
页数：11
相关论文
共 50 条
  • [1] Diagonals of Lau product Banach algebras
    Bodaghi, Abasat
    Valaei, Mohammad
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024, 23 (03)
  • [2] BIFLATNESS AND BIPROJECTIVITY OF LAU PRODUCT OF BANACH ALGEBRAS
    Khoddami, A. R.
    Vishki, H. R. Ebrahimi
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2013, 39 (03) : 559 - 568
  • [3] A Characterization of Multipliers of a Lau Algebra Constructed by Semisimple Commutative Banach Algebras
    Takahasi, Sin-Ei
    Takagi, Hiroyuki
    Miura, Takeshi
    TAIWANESE JOURNAL OF MATHEMATICS, 2016, 20 (06): : 1401 - 1415
  • [4] MODULE AMENABILITY OF MODULE LAU PRODUCT OF BANACH ALGEBRAS
    Azaraien, Hojat
    Bagha, Davood Ebrahimi
    HONAM MATHEMATICAL JOURNAL, 2020, 42 (03): : 537 - 550
  • [5] Characterization of Homological Properties of θ-Lau Product of Banach Algebras
    Essmaili, Morteza
    Rejali, Ali
    Marzijarani, Azam Salehi
    FILOMAT, 2021, 35 (01) : 37 - 46
  • [6] Derivations into various duals of Lau product of Banach algebras
    Ramezanpour, Mohammad
    PUBLICATIONES MATHEMATICAE-DEBRECEN, 2017, 90 (3-4): : 493 - 505
  • [7] WEAK AMENABILITY OF THE LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM
    Ramezanpour, Mohammad
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (06) : 1991 - 1999
  • [8] BIPROJECTIVITY AND BIFLATNESS OF LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM
    Abtahi, F.
    Ghafarpanah, A.
    Rejali, A.
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2015, 91 (01) : 134 - 144
  • [9] IDEAL CONNES-AMENABILITY OF LAU PRODUCT OF BANACH ALGEBRAS
    Minapoor, A.
    Bodaghi, A.
    Mewomo, O. T.
    EURASIAN MATHEMATICAL JOURNAL, 2021, 12 (04): : 74 - 81
  • [10] n-WEAK AMENABILITY FOR LAU PRODUCT OF BANACH ALGEBRAS
    Vishki, H. R. Ebrahimi
    Khoddami, A. R.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2015, 77 (04): : 177 - 184
12345