Continuity and structure of generalized \((\phi,\psi)\)-derivations (Q681234)

After presenting some basic facts about generalized \((\phi,\psi)\)-derivations, the authors give some sufficient conditions on a simple Banach algebra that ensure the automatic continuity of such maps. They also consider the question of the innerness of such maps on \(\mathcal{B}(X)\) and show that it is enough to study \(\mathcal{F}(X)\) in this case.