Abstract

Let B( X) be the algebra of bounded operators on a complex infinite dimensional Banach space X, and F( X) be the subalgebra of all finite rank operators in B( X). A characterization of additive mappings on F( X) which preserve rank one nilpotent operators in both directions is given. As applications of this result, some additive preservers are described.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call