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The Kitai criterion and backward shifts |
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| Authors: | Stanislav Shkarin |
| Institution: | Department of Pure Mathematics, Queen's University Belfast, University Road, BT7 1NN Belfast, United Kingdom |
| 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 a quasisimilarity argument and on showing that  satisfies the Kitai criterion for certain backward weighted shifts  . |
| Keywords: | Hypercyclic operators mixing operators the Kitai criterion biorthogonal sequences backward shifts quasisimilarity |
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