HADAMARD HOMOMORPHISMS AND HADAMARD DERIVATIONS ON BANACH ALGEBRAS

被引：10
|
作者：
Dehghanian, Mehdi [1 ]
Sayyari, Yamin [1 ]
Park, Choonkil [2 ]
机构：
[1] Sirjan Univ Technol, Dept Math, Sirjan, Iran
[2] Hanyang Univ, Res Inst Nat Sci, Seoul 04763, South Korea
来源：
MISKOLC MATHEMATICAL NOTES | 2023年 / 24卷 / 01期
关键词：
2-additive functional equation; Hadamard homomorphism; Hadamard derivation; 2-linear mapping; FUNCTIONAL-EQUATION; STABILITY;
D O I：
10.18514/MMN.2023.3928
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we prove the stability of Hadamard homomorphisms and Hadamard derivations in Banach algebras. This is applied to investigate Hadamard isomorphisms between Banach algebras.
引用
收藏
页码：129 / 137
页数：9
相关论文
共 50 条
  • [1] JORDAN HOMOMORPHISMS AND DERIVATIONS ON SEMISIMPLE BANACH ALGEBRAS
    SINCLAIR, AM
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 24 (01) : 209 - &
  • [2] Approximate homomorphisms and derivations on random Banach algebras
    Madadian, M.
    Ebadian, A.
    Gordji, M. Eshaghi
    Kenary, H. Azadi
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2012,
  • [3] Approximate homomorphisms and derivations on random Banach algebras
    M Madadian
    A Ebadian
    M Eshaghi Gordji
    H Azadi Kenary
    Journal of Inequalities and Applications, 2012
  • [4] Stability of Homomorphisms and Generalized Derivations on Banach Algebras
    Najati, Abbas
    Park, Choonkil
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2009,
  • [5] Stability of Homomorphisms and Generalized Derivations on Banach Algebras
    Abbas Najati
    Choonkil Park
    Journal of Inequalities and Applications, 2009
  • [6] ON THE STABILITY OF HOMOMORPHISMS AND k-DERIVATIONS ON Γ-BANACH ALGEBRAS
    Arslan, Berna
    Arslan, Okan
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2018, 80 (02): : 69 - 78
  • [7] Invariance properties of homomorphisms on algebras of holomorphic functions with the Hadamard product
    Render, H
    Sauer, A
    STUDIA MATHEMATICA, 1996, 121 (01) : 53 - 65
  • [8] Homomorphisms of matrix algebras and constructions of Butson-Hadamard matrices
    Cathain, Padraig O.
    Swartz, Eric
    DISCRETE MATHEMATICS, 2019, 342 (12)
  • [9] The stability of high ring homomorphisms and derivations on fuzzy Banach algebras
    Chen, Lin
    Luo, Xiaolin
    OPEN MATHEMATICS, 2024, 22 (01):
  • [10] Stability of hyper homomorphisms and hyper derivations in complex Banach algebras
    Sayyari, Yamin
    Dehghanian, Mehdi
    Park, Choonkil
    Lee, Jung Rye
    AIMS MATHEMATICS, 2022, 7 (06): : 10700 - 10710
12345