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On Asymptotic Transitivity in Banach Spaces

J. Talponen

math.FAarXiv:math/0610547

Abstract

We introduce a flexible almost isometric version of the almost transitivity property of Banach spaces. With the help of this new notion we generalize to several directions a strong recent rotational characterization of Hilbert spaces due to Randrianantoanina. This characterization is a partial answer to the classical Banach-Mazur rotation problem.

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