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arXiv · 1209.1457

The Kitai Criterion and backward shifts

Stanislav Shkarin
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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 quasisimilarity argument and on showing that $I+T$ satisfies the Kitai Criterion for certain backward weighted shifts $T$.

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Stanislav Shkarin. 2012-09-07. The Kitai Criterion and backward shifts. https://arxiv.org/abs/1209.1457

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