Solution of a problem of Peller concerning similarity

Details Solution of a problem of Peller concerning similarity Solution of a problem of Peller concerning similarity

1999-10-28

arxiv.org/abs/math/9910163v1

Mathematics

Functional Analysis

9 pages

Scientific paper

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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