On *-homomorphisms between JC*-algebras
- Authors
- Park, Choonkil; Park, Won-Gil; Wee, Hee-Jeong
- Issue Date
- Jan-2008
- Publisher
- EUDOXUS PRESS, LLC
- Keywords
- Hyers-Ulam-Rassias stability; homomorphism in JC*-algebra; real rank 0; linear derivation
- Citation
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, v.10, no.1, pp.25 - 37
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS
- Volume
- 10
- Number
- 1
- Start Page
- 25
- End Page
- 37
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/179102
- ISSN
- 1521-1398
- Abstract
- It is shown that every almost unital almost linear mapping f : A --> B of JC*-algebra A to a JC*-algebra B is a homomorphism when f (2(n)u o y) = f (2(n)u) o f (y) holds for all unitaries u is an element of A, all y is an element of A, and all n = 0, 1, 2,..., and that every almost unital almost linear continuous mapping f : A --> B of a JC*-algebra A of real rank zero to a JC*-algebra B is a homomorphism when f(2(n)uoy) = f(2(n)u) o f(y) holds for all u is an element of {v is an element of A vertical bar v = v*, parallel to v parallel to = 1, v is invertiblel, all y is an element of A, and all n = 0, 1, 2,.... Furthermore, we are going to prove the generalized Hyers-Ulam-Rassias stability of *-homomorphisms between JC*-algebras, and C-linear *-derivations on JC*-algebras.
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