Solution of a problem of Peller concerning similarity

N. J. Kalton; C. Le Merdy

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Solution of a problem of Peller concerning similarity

N. J. Kalton·C. Le Merdy

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Abstract

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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N. J. Kalton, C. Le Merdy. 1999-10-28. Solution of a problem of Peller concerning similarity. https://arxiv.org/abs/math/9910163

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