科研之友
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摘要
A complete characterization of Hilbert space operators that generate weakly amenable algebras remains open, even in the case of compact operator. Farenick, Forrest and Marcoux proposed the question that if T is a compact weakly amenable operator on a Hilbert space h, then is T similar to a normal operator? In this paper, we demonstrate an example of compact triangular operator on infinite-dimensional Hilbert space which is a weakly amenable and character amenable operator but is not similar to a normal operator.
