Year: 1999
Type: article
Abstract: Two elements A A and B B in a ring R \mathfrak {R} determine a generalized derivation δ A , B \delta _{A,B} on R \mathfrak {R} by setting δ A , B ( X ) \delta _{A,B}(X) = A X − X A =AX-XA for any X X in R \mathfrak {R} . We characterize when the product δ C , D δ A , B \delta _{C,D}\delta _{A,B} is a generalized derivation in the cases when the ring R \mathfrak {R} is the algebra of all bounded operators on a Banach space E \mathcal {E} , and when R \mathfrak {R}
Authors: Mohamed Barraa, Steen Pedersen
Institutions: Cadi Ayyad University, Wright State University
Language: English
Topic: Advanced Topics in Algebra
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W1485197275