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

Quang Nguyen Huu

Abstract


This paper presents some properties of the ϕ-derivations and the generalized ϕ-derivations from a Banach algebra A into a Banach algebra B. The innerness, one of the most attracting aspect of the derivations on Banach algebras, is also considered. The last sections of this work is discussion about the ϕ-homomorphisms from A into B and some continuous properties of the generalized ϕ-derivations.


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