Document Type

Article

Publication Date

9-1997

Abstract

Two elements A and B in a ring R determine a generalized derivation deltaA,B on R by setting δA,B(X) = AX - XA for any X in R. We characterize when the product δC,DδA,B is a generalized derivation in the cases when the ring R is the algebra of all bounded operators on a Banach space epsilon, and when R is a C*-algebra U. We use the se characterizations to compute the commutant of the range of δA,B.

Comments

First published in Proceedings of the American Mathematical Society 127.9 (1999), published by the American Mathematical Society.

DOI

10.1090/S0002-9939-99-04899-6