Solution of a problem of Peller concerning similarity

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 ${\sup }_n\Vert S^n\Vert >c.$

9 pages

Cited by in corpus (2)

• Similarity problems and length
• Multipliers of the Hardy space H^1 and power bounded operators