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On Asymptotic Transitivity in Banach Spaces

Functional Analysis 2007-05-23 v2

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.

Keywords

Cite

@article{arxiv.math/0610547,
  title  = {On Asymptotic Transitivity in Banach Spaces},
  author = {J. Talponen},
  journal= {arXiv preprint arXiv:math/0610547},
  year   = {2007}
}

Comments

15 pages

R2 v1 2026-07-22T17:44:30.267Z