Lie ∗-homomorphisms between Lie C∗-algebras and Lie ∗-derivations on Lie C∗-algebras

By Chun-Gil Park. 2004

144 citations recorded by the source corpus.

Abstract We prove the generalized Hyers–Ulam–Rassias stability of Lie ∗-homomorphisms in Lie C ∗ -algebras, and of Lie ∗-derivations on Lie C ∗ -algebras.

Subfields: Algebra and Number Theory, Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/1a37e0343ec13cafebda522206aea7f84e564cf0

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In Algebra and Number Theory

1. Choonkill Park
2. Mohammad Sal Moslehian
3. C. Baak
4. Abbas Najati

In Applied Mathematics

1. Choonkill Park
2. Mohammad Sal Moslehian
3. Abbas Najati
4. C. Baak
5. Janusz Brzdek
6. M. Eshaghi Gordji
7. Krzysztof Cieplinski
8. Madjid Mirzavaziri

Citations in the corpus

• Isomorphisms between C*-ternary algebras (2006, unknown): “Park [17–21], Th.”
• Homomorphisms and Derivations in $C^*$-Algebras (2007, background): “A C∗-algebra , endowed with the Lie product [x, y]= (xy− yx)/2 on , is called a Lie C∗-algebra (see [24, 25, 29]).”
• On the stability of J*-homomorphisms (2005, result): “momorphism between C∗-algebras is a J∗-homomorphism. In [9], the first author establishes the stability of ∗-homomorphisms of a C∗-algebra. Using Rassias’ technique [11] and some similar methods as in [10], we generalize some of the results for J∗-homomorphisms. Throughout this paper, A and B denote ”