Szlenk indices and uniform homeomorphisms

Godefroy, G.; Kalton, N.; Lancien, G.

doi:10.1090/S0002-9947-01-02825-2

Szlenk indices and uniform homeomorphisms
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by G. Godefroy, N. J. Kalton and G. Lancien PDF

Trans. Amer. Math. Soc. 353 (2001), 3895-3918 Request permission

Abstract:

We prove some rather precise renorming theorems for Banach spaces with Szlenk index $\omega _0.$ We use these theorems to show the invariance of certain quantitative Szlenk-type indices under uniform homeomorphisms.

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