Semiprime Banach Algebras Research Articles

Continuity of Derivations on Some Semiprime Banach Algebra

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.

Continuity of derivations on some semiprime Banach algebra

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.