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Asymptotic $l_p$ spaces and bounded distortions

Vitali D. Milman·Nicole Tomczak-Jaegermann
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Abstract

The new class of Banach spaces, so-called asymptotic $l_p$ spaces, is introduced and it is shown that every Banach space with bounded distortions contains a subspace from this class. The proof is based on an investigation of certain functions, called enveloping functions, which are intimately connected with stabilization properties of the norm.

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BibTeXRIS

Vitali D. Milman, Nicole Tomczak-Jaegermann. 1992-09-15. Asymptotic $l_p$ spaces and bounded distortions. https://arxiv.org/abs/math/9209214

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