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math.FA2010
An example of weakly amenable and character amenable operator
Luo Yi Shi, YU Jing Wu, You Qing Ji
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 prop…
math.FA2010
Invariant and hyperinvariant subspaces for amenable operators
Luo Yi Shi, Yu Jing Wu, You Qing Ji
There has been a long-standing conjecture in Banach algebra that every amenable operator is similar to a normal operator. In this paper, we study the structure of amenable operator…