Article
On the Product of Two Generalized Derivations
Proceedings of the American Mathematical Society
Document Type
Article
Publication Date
9-1-1997
Disciplines
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.
DOI
10.1090/S0002-9939-99-04899-6
Citation Information
Mohamed Barraa and Steen Pedersen. "On the Product of Two Generalized Derivations" Proceedings of the American Mathematical Society Vol. 127 Iss. 9 (1997) p. 2679 - 2683 ISSN: 0002-9939 Available at: http://works.bepress.com/steen_pedersen/7/
First published in Proceedings of the American Mathematical Society 127.9 (1999), published by the American Mathematical Society.