GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS

GENERALIZED ULAM-HYERS STABILITIES OF QUARTIC DERIVATIONS ON BANACH ALGEBRAS

Let A , B be two rings. A mapping δ : A → B is called quartic derivation, if δ is a quartic function satisfies δ(ab) = a4δ(b) + δ(a)b4 for all a, b ∈ A. The main purpose of this paper to prove the generalized Hyers-Ulam-Rassias stabili...

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Autores principales: Eshaghi Gordji,M, Ghobadipour,N
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2010
Materias:
Banach algebra
quartic functional equation
quartic derivation
Hyer-Ulam-Rassias stability
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000300005
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Sumario:Let A , B be two rings. A mapping δ : A → B is called quartic derivation, if δ is a quartic function satisfies δ(ab) = a4δ(b) + δ(a)b4 for all a, b ∈ A. The main purpose of this paper to prove the generalized Hyers-Ulam-Rassias stability of the quartic derivations on Banach algebras.

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