Jordan *-homomorphisms on C^*-algebras

2008/12/15 by M‎. ‎Eshaghi Gordji, Gordji, M. Eshaghi, N. Ghobadipour +3
Mathematics · #17C65 #39B72 #39B82 #46L05 #47B48 #47Jxx #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Functional Equations Stability Results #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.0812.2928

openalex publication_date 2008/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate Jordan *-homomorphisms on C^*-algebras associated with the following functional inequality ‖f((b-a)/(3))+f((a-3c)/(3))+f((3a+3c-b)/(3))‖ ≤ ‖f(a)‖. 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)/(3))+f((3a+3c-b)/(3))=f(a).

Citations

• On the stability of the linear mapping in Banach spaces

Related

• Jordan derivations on C^*-ternary algebras for a Cauchy-Jensen functional equation
• Stability of homomorphisms and derivations in C^*-ternary algebras
• Ulam stability for some classes of C*-algebras
• Stability of ternary Jordan homomorphisms and derivations associated to the generalized Jensen equation
• Jordan *-homomorphisms between unital C^*-algebras