On the stability of generalized derivations on Banach algebras

Document Type : Research Paper

Authors

University of Guilan

Abstract

We investigate the stability of generalized
derivations on Banach algebras with a bounded central approximate
identity. We show that every approximate generalized derivation in
the sense of Rassias, is an exact generalized derivation. Also the
stability problem of generalized derivations on the faithful Banach
algebras is investigated.

Keywords