English

Solution of a problem of Peller concerning similarity

Functional Analysis 2007-05-23 v1

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 supnSn>c.\sup_n\|S^n\|>c.

Keywords

Cite

@article{arxiv.math/9910163,
  title  = {Solution of a problem of Peller concerning similarity},
  author = {N. J. Kalton and C. Le Merdy},
  journal= {arXiv preprint arXiv:math/9910163},
  year   = {2007}
}

Comments

9 pages