On the Stability of (α,β, γ)-Derivations and Lie C* -Algebra Homomorphisms on Lie C* -Algebras: A Fixed Points Method

Seong Sik Kim; Ga Ya Kim; Soo Hwan Kim

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On the Stability of (α,β, γ)-Derivations and Lie C* -Algebra Homomorphisms on Lie C* -Algebras: A Fixed Points Method

机译：Lie C *-代数上的（α，β，γ）导数和Lie C *-代同态的稳定性：不动点法

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We investigate new generalized Hyers-Ulam stability results for (α,β, γ)-derivations and Lie C* -algebra homomorphisms on Lie C*-algebras associated with the additive functional equation: ∑_(i=1)~n f(nx_1 + ∑_(j=1,j≠i)~n x_j) + f(∑_(i=1)~n x_i) = 2f(∑_(i=1)~n nx_i)

机译：我们研究与加性泛函方程∑_（i = 1）〜nf（nx_1）相关的Lie C *-代数上（α，β，γ）-导数和Lie C *-代数同态的新的广义Hyers-Ulam稳定性结果+ ∑_（j = 1，j≠i）〜n x_j）+ f（∑_（i = 1）〜n x_i）= 2f（∑_（i = 1）〜n nx_i）

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《Mathematical Problems in Engineering》 |2013年第7期|954749.1-954749.5|共5页
作者
Seong Sik Kim; Ga Ya Kim; Soo Hwan Kim;
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Department of Mathematics, Dong-eui University, Busan 614-714, Republic of Korea;

Department of Urban Engineering, Dong-eui University, Busan 614-714, Republic of Korea;

Department of Mathematics, Dong-eui University, Busan 614-714, Republic of Korea;

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1. Homomorphisms between Lie JC*-algebras and Cauchy-Rassias stability of Lie JC*-algebra derivations [J] . Park CG Journal of Lie theory . 2005,第2期

机译：谎言jc * -algebras与cauchy-rassias稳定性之间的同性态jc * -algebra推导
2. Lie *-homomorphisms between lie C*-algebras and Lie *-derivations on lie C*-algebras [J] . Park CG Journal of Mathematical Analysis and Applications . 2004,第2期

机译：李C *代数与李C *代数上Lie *导数之间的Lie *同态
3. Fixed points, Lie *?homomorphisms and Lie *?derivations on Lie C*?algebras [J] . H. Khodaei, R. Khodabakhsh, M. Eshaghi Gordji Fixed point theory: An international journal o fixed point theory computation and applications . 2013,第2期

机译：Lie C *代数上的不动点，Lie *同胚和Lie *导数
4. A new approach to tolerance analysis method based onthe screw and the Lie Algebra of Lie Group [C] . X C Zhai, Q G Du, W X Wang International Conference on Mechanical Engineering and Automation Science . 2017

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5. Some graded Lie algebra structures associated with Lie algebras and Lie algebroids. [D] . Yang, Qunfeng. 1999

机译：与李代数和李代数相关的一些分级李代数结构。
6. Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras [O] . Dietrich Burde, Vsevolod Gubarev -1

机译：半简单李代数上的Rota–Baxter算子和后李代数结构
7. Lie ∗-homomorphisms between Lie C∗-algebras and Lie ∗-derivations on Lie C∗-algebras [O] . Park Chun-Gil 2004

机译：Lie C *代数与Lie C ∗代数上的Lie ∗导数之间的Lie ∗同态

On the Stability of (α,β, γ)-Derivations and Lie C* -Algebra Homomorphisms on Lie C* -Algebras: A Fixed Points Method

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