Solution of a problem of Peller concerning similarity
classification
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operatorpelleranswerconcerningexistshilbertpower-boundedproblem
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We answer a question of Peller by showing that for any c>1 there exists a power-bounded operator T on a Hilbert space with the property that any operator S similar to T satisfies $\sup_n\|S^n\|>c.$
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