Article ID Journal Published Year Pages File Type
4621095 Journal of Mathematical Analysis and Applications 2008 6 Pages PDF
Abstract

Let H be an infinite-dimensional complex Hilbert space, B(H) be the algebra of all bounded linear operators on H. We study surjective linear maps on B(H) preserving generalized invertibility. We also investigate surjective linear maps preserving Fredholm (respectively, semi-Fredholm) operators. Our results improve those of Mbekhta, Rodman and Šemrl.

Related Topics
Physical Sciences and Engineering Mathematics Analysis