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# Journal of Operator Theory

Volume 42, Issue 2, Fall 1999  pp. 405-428.

Summary:  Let $A$ be a norm-closed operator algebra which is radical; that is, each element in $A$ is quasinilpotent. We consider the case when such algebras satisfy the stronger condition of being uniformly topologically nil. In particular, we study this question when $A$ is generated by a quasinilpotent weighted shift or by the Volterra operator.