Continuity of derivations on some semiprime Banach algebra

Ramesh V. Garimella
1987 Proceedings of the American Mathematical Society  
If every prime ideal is closed in a commutative semiprime Banach algebra with unit, then every derivation on it is continuous. Also if derivations are continuous on integral domains, then they are continuous on semiprime Banach algebras.
doi:10.1090/s0002-9939-1987-0870787-6 fatcat:dcjueioxafeifiysvi4lfvsbae