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.
|Number of pages||12|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - May 2008|
ASJC Scopus subject areas
- Applied Mathematics