The Kitai Criterion and backward shifts
Functional Analysis
2012-09-10 v1 Dynamical Systems
Abstract
It is proved that for any separable infinite dimensional Banach space , there is a bounded linear operator on such that satisfies the Kitai Criterion. The proof is based on quasisimilarity argument and on showing that satisfies the Kitai Criterion for certain backward weighted shifts .
Keywords
Cite
@article{arxiv.1209.1457,
title = {The Kitai Criterion and backward shifts},
author = {Stanislav Shkarin},
journal= {arXiv preprint arXiv:1209.1457},
year = {2012}
}