Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4621095 | Journal of Mathematical Analysis and Applications | 2008 | 6 Pages |
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.
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