Solution of a problem of Peller concerning similarity

Solution of a problem of Peller concerning similarity

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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Veröffentlicht in:arXiv.org 1999-10
Hauptverfasser: Kalton, N J, C Le Merdy
Format: Artikel
Sprache:eng
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Zusammenfassung: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 \(\sup_n\|S^n\|>c.\)
ISSN:2331-8422