Details

Autor(en) / Beteiligte

• Gordji, M. Eshaghi
• Karimi, T.
• Kaboli Gharetapeh, S.

Titel

Approximately -Jordan Homomorphisms on Banach Algebras

Ist Teil von

• Journal of inequalities and applications, 2009-01, Vol.2009 (1), p.870843

Ort / Verlag

Cham: Springer International Publishing

Erscheinungsjahr

2009

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• Let , and let be two rings. An additive map is called -Jordan homomorphism if for all . In this paper, we establish the Hyers-Ulam-Rassias stability of -Jordan homomorphisms on Banach algebras. Also we show that (a) to each approximate 3-Jordan homomorphism from a Banach algebra into a semisimple commutative Banach algebra there corresponds a unique 3-ring homomorphism near to , (b) to each approximate -Jordan homomorphism between two commutative Banach algebras there corresponds a unique -ring homomorphism near to for all .