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.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 1069-1074
- MSC: Primary 47B49
- DOI: https://doi.org/10.1090/S0002-9939-1995-1254849-4
- MathSciNet review: 1254849