A non-reflexive Banach space with all contractions mean ergodic

Vladimir P. Fonf, Michael Lin, Przemyslaw Wojtaszczyk

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish
Pages (from-to)479-491
Number of pages13
JournalIsrael Journal of Mathematics
Volume179
Issue number1
DOIs
StatePublished - 1 Dec 2010

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