Abstract
It is proved that for any separable infinite dimensional Banach space X, there is a bounded linear operator T on X such that T satisfies the Kitai criterion. The proof is based on a quasisimilarity argument and on showing that I + T satisfies the Kitai criterion for certain backward weighted shifts T.
| Original language | English |
|---|---|
| Pages (from-to) | 1659-1670 |
| Number of pages | 12 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 136 |
| Issue number | 5 |
| Publication status | Published - May 2008 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics