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Szlenk indices and uniform homeomorphisms

Functional Analysis 2007-05-23 v1

Abstract

We prove some rather precise renorming theorems for Banach spaces with Szlenk index ω0\omega_0. We use these theorems to show the invariance of certain quantitative Szlenk-type indices under uniform homeomorphisms.

Keywords

Cite

@article{arxiv.math/9911017,
  title  = {Szlenk indices and uniform homeomorphisms},
  author = {G. Godefroy and N. J. Kalton and G. Lancien},
  journal= {arXiv preprint arXiv:math/9911017},
  year   = {2007}
}

Comments

28 pages