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JORDAN *-HOMOMORPHISMS ON C*-ALGEBRAS

Authors
Gordji, M. EshaghiGhobadipour, N.Park, Choonkil
Issue Date
Sep-2011
Publisher
Element d.o.o.
Keywords
Jordan *-homomorphism; C*-algebra; generalized Hyers-Ulam stability; functional equation and inequality
Citation
Operators and Matrices, v.5, no.3, pp 541 - 551
Pages
11
Indexed
SCIE
SCOPUS
Journal Title
Operators and Matrices
Volume
5
Number
3
Start Page
541
End Page
551
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/167679
DOI
10.48550/arXiv.0812.2928
ISSN
1846-3886
Abstract
In this paper, we investigate Jordan *-homomorphisms on C*-algebras associated with the following functional inequality parallel to f(b-a/3) + f(a-3c/3) + f(3a+3c-b/3)parallel to <= parallel to f(a)parallel to. We moreover prove the superstability and the generalized Hyers-Ulam stability of Jordan *-homomorphisms on C*-algebras associated with the following functional equation f(b-a/3) + f(a-3c/e) + f(3a+3c-b/3) = f(a).
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