On compact operators in the weak closure of the range of a derivation
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- by Hong W. Kim
- Proc. Amer. Math. Soc. 40 (1973), 482-486
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318956-8
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Abstract:
It is shown that if $K$ is a compact operator which commutes with a bounded operator $A$ on a Hilbert space $H$ and if $K$ is contained in the weak closure of the range of the derivation induced by $A$, then $K$ is quasinilpotent.References
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Bibliographic Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 482-486
- MSC: Primary 47B47; Secondary 46L10
- DOI: https://doi.org/10.1090/S0002-9939-1973-0318956-8
- MathSciNet review: 0318956