Linear mappings that preserve potent operators

Omladič, Matjaž; Šemrl, Peter

doi:10.1090/S0002-9939-1995-1254849-4

Linear mappings that preserve potent operators
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by Matjaž Omladič and Peter Šemrl PDF

Proc. Amer. Math. Soc. 123 (1995), 1069-1074 Request permission

Abstract:

Let H and K be a complex Hilbert spaces, while $\mathcal {B}(H)$ and $\mathcal {B}(K)$ denote the algebras of all linear bounded operators on H and K, respectively. We characterize surjective linear mappings from $\mathcal {B}(H)$ onto $\mathcal {B}(K)$ that preserve potent operators in both directions.

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