RETRACTED ARTICLE: Approximation of Jordan homomorphisms in Jordan-Banach algebras

被引:0
作者
Madjid Eshaghi Gordji
Najmeh Karimipour Samani
Choonkil Park
机构
[1] Semnan University,Department of Mathematics
[2] Hanyang University,Research Institute for Natural Sciences
关键词
Hyers-Ulam stability; Jordan homomorphism; Jordan algebra; 39B52; 17C65;
D O I
10.1186/2251-7456-6-55
中图分类号
学科分类号
摘要
Using the direct method based on the Hyers-Ulam-Rassias stability, we investigate and prove the Hyers-Ulam stability of Jordan homomorphisms in Jordan-Banach algebras for the functional equation
引用
收藏
相关论文
共 36 条
[1]  
Hyers DH(1941)On the stability of the linear functional equation Proc. Nat. Acad. Sci 27 222-224
[2]  
Aoki T(1950)On the stability of the linear transformation in Banach spaces J. Math. Soc. Japan 2 64-66
[3]  
Rassias TM(1978)On the stability of the linear mapping in Banach spaces Proc Amer. Math. Soc 72 297-300
[4]  
Găvruta P(1994)A generalization of the Hyers-Ulam-Rassias stability of approximately additive mappings J. Math. Anal. Appl 184 431-436
[5]  
Badora R(2002)On approximate ring homomorphisms J. Math. Anal. Appl 276 589-597
[6]  
Badora R(2006)On approximate derivations Math. Inequal. Appl 9 167-173
[7]  
Gajda Z(1991)On stability of additive mappings Internat. J. Math. Math. Sci 14 431-434
[8]  
Gavruta P(2010)A new method for the generalized Hyers-Ulam-Rassias stability Int. J. Nonlinear Anal. Appl 1 11-18
[9]  
Gavruta L(1999)A generalization of the Hyers-Ulam-Rassias stability of Jensen’s equation J. Math. Anal. Appl 238 305-315
[10]  
Jun K(2010)Fuzzy approximately additive mappings Int. J. Nonlinear Anal. Appl 1 44-53