Details

Autor(en) / Beteiligte

• Gordji, Madjid Eshaghi
• Ghobadipour, Norooz
• Park, Choon-Kil

Titel

JORDAN -HOMOMORPHISMS BETWEEN UNITAL C -ALGEBRAS

Ist Teil von

• Communications of the Korean Mathematical Society, 2012, Vol.27 (1), p.149-158

Erscheinungsjahr

2012

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• In this paper, we prove the superstability and the generalized Hyers-Ulam stability of Jordan *-homomorphisms between unital $C^*$-algebras associated with the following functional equation$$f(\frac{-x+y}{3})+f(\frac{x-3z}{c})+f(\frac{3x-y+3z}{3})=f(x)$$. Morever, we investigate Jordan *-homomorphisms between unital $C^*$-algebras associated with the following functional inequality $${\parallel}f(\frac{-x+y}{3})+f(\frac{x-3z}{3})+f(\frac{3x-y+3z}{3}){\parallel}\leq{\parallel}f(x)\parallel$$.