Abstract
We construct on any quasi-reflexive of order 1 separable real Banach space an equivalent norm, such that all contractions on the space and all contractions on its dual are mean ergodic, thus answering negatively a question of Louis Sucheston.
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Dedicated to the memory of Aryeh Dvoretzky
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Fonf, V.P., Lin, M. & Wojtaszczyk, P. A non-reflexive Banach space with all contractions mean ergodic. Isr. J. Math. 179, 479–491 (2010). https://doi.org/10.1007/s11856-010-0090-1
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DOI: https://doi.org/10.1007/s11856-010-0090-1