Details

Autor(en) / Beteiligte

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

Titel

Approximately n -Jordan Homomorphisms on Banach Algebras

Ist Teil von

• Journal of inequalities and applications, 2009-01, Vol.2009

Ort / Verlag

Heidelberg: Springer Nature B.V

Erscheinungsjahr

2009

Quelle

The Electronic Journals Library

Beschreibungen/Notizen

• Let n∈... , and let A, B be two rings. An additive map h:A[arrow right]B is called n -Jordan homomorphism if h([superscript]an[/superscript] )=[superscript](h(a))n[/superscript] for all a∈A . In this paper, we establish the Hyers-Ulam-Rassias stability of n -Jordan homomorphisms on Banach algebras. Also we show that (a) to each approximate 3-Jordan homomorphism h from a Banach algebra into a semisimple commutative Banach algebra there corresponds a unique 3-ring homomorphism near to f , (b) to each approximate n -Jordan homomorphism h between two commutative Banach algebras there corresponds a unique n -ring homomorphism near to f for all n∈{3,4,5} .