EPIMORPHISMS ONTO DERIVATION ALGEBRAS

摘要

We prove that the separating space of an epimorphism from a Liea€“Banach algebra onto the (continuous) derivation algebra $mathfrak{Der}(A)$ of a Banach algebra $A$ consists of derivations which map into the radical of $A$.AMS 2000 Mathematics subject classification: Primary 46H40; 46H70. Secondary 47B47; 47B48