Derivations with a Hereditary Domain
Derivations with a Hereditary Domain
We investigate the closability of those derivations D defined on a (non necessarily closed) subalgebra B of a complex Banach algebra A for which the conditions BAB⊂B and dim[Bk∩Rad(A)]<∞ hold for some k∈N, where Rad(A) stands for the Jacobson radical of A. In this situation we show that the separating …