C*-Ternary 3-Homomorphisms on C*-Ternary Algebras

被引:13
作者
Dehghanian, Mehdi [1 ]
Park, Choonkil [2 ]
机构
[1] Sirjan Univ Technol, Dept Math, Sirjan, Iran
[2] Hanyang Univ, Res Inst Nat Sci, Dept Math, Seoul 133791, South Korea
基金
新加坡国家研究基金会;
关键词
3-additive mapping; C*-ternary algebra; C*-ternary algebra 3-homomorphism; ULAM-RASSIAS STABILITY; FUNCTIONAL-EQUATION; DERIVATIONS; MAPPINGS; SPACES; RINGS;
D O I
10.1007/s00025-014-0365-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we investigate the Ulam-Hyers stability of C (*)-ternary algebra 3-homomorphisms for the functional equation f(x(1) + x(2) + x(3), y(1) + y(2) + y(3), z(1) + z(2) + z(3)) = Sigma(1) (<=) (i), (j), (k) (<=) (3) f(x(i), y(j), z(k)) in C (*)-ternary algebras.
引用
收藏
页码:87 / 98
页数:12
相关论文
共 31 条
[1]   Hypersymmetry: A Z(3)-graded generalization of supersymmetry [J].
Abramov, V ;
Kerner, R ;
LeRoy, B .
JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (03) :1650-1669
[2]  
[Anonymous], 1994, DISCRIMINANTS RESULT
[3]  
Aoki T., 1950, J. Math. Soc. Japan, V2, P64
[4]  
BAE J, 2002, B KOREAN MATH SOC, V39, P401
[5]   A functional equation having monomials as solutions [J].
Bae, Jae-Hyeong ;
Park, Won-Gil .
APPLIED MATHEMATICS AND COMPUTATION, 2010, 216 (01) :87-94
[6]   APPROXIMATE BI-HOMOMORPHISMS AND BI-DERIVATIONS IN C*-TERNARY ALGEBRAS [J].
Bae, Jae-Hyeong ;
Park, Won-Gil .
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 47 (01) :195-209
[7]  
Bae Jaehyeong, 2011, [Journal of the Chungcheong Mathematical Society, 충청수학회지], V24, P147
[8]   On stability of a functional equation with n variables [J].
Bae, JH ;
Park, WG .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 64 (04) :856-868
[9]   On the generalized Hyers-Ulam-Rassias stability in Banach modules over a C*-algebra [J].
Bae, JH ;
Park, WG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (01) :196-205
[10]   CLASSES OF TRANSFORMATIONS AND BORDERING TRANSFORMATIONS [J].
BOURGIN, DG .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (04) :223-237