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.
Ansari-Piri, E. & Anjidani, E. (2012). On the stability of generalized derivations on Banach algebras. Bulletin of the Iranian Mathematical Society, 38(1), 253-263.
MLA
Ansari-Piri, E., & Anjidani, E. "On the stability of generalized derivations on Banach algebras", Bulletin of the Iranian Mathematical Society, 38, 1, 2012, 253-263.
HARVARD
Ansari-Piri E., Anjidani E. (2012). 'On the stability of generalized derivations on Banach algebras', Bulletin of the Iranian Mathematical Society, 38(1), pp. 253-263.
CHICAGO
E. Ansari-Piri & E. Anjidani, "On the stability of generalized derivations on Banach algebras," Bulletin of the Iranian Mathematical Society, 38 1 (2012): 253-263,
VANCOUVER
Ansari-Piri E., Anjidani E. On the stability of generalized derivations on Banach algebras. BIMS. 2012;38(1):253-263.
