THE ϕ-INNER DERIVATIONS AND THE GENERALIZED ϕ-DERIVATIONS ON BANACH ALGEBRAS

Abstract

This paper presents some properties of the ϕ-derivations and the gen

eralized ϕ-derivations from a Banach algebra A into a Banach algebra

1. The innerness, one of the most attracting aspect of the derivations on

Banach algebras, is also considered. The last sections of this work is dis

cussion about the ϕ-homomorphisms from A into B and some continuous

properties of the generalized ϕ-derivations.