On Asymptotic Transitivity in Banach Spaces

Details On Asymptotic Transitivity in Banach Spaces On Asymptotic Transitivity in Banach Spaces

2006-10-18

arxiv.org/abs/math/0610547v2

Mathematics

Functional Analysis

15 pages

Scientific paper

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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