Title of article :
ON THE STABILITY OF GENERALIZED DERIVATIONS ON BANACH ALGEBRAS
Author/Authors :
ANSARI-PIRI, E. university of guilan - Department of Mathematics, رشت, ايران , ANJIDANI, E. university of guilan - Department of Mathematics, رشت, ايران
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 :
Hyers , Ulam , Rassias stability , generalized derivation , bounded central approximate identity , faithful Banach algebra.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
