Asymptotic lp spaces and bounded distortions
Vitali D. Milman, Nicole Tomczak-Jaegermann
Abstract
The new class of Banach spaces, so-called asymptotic lp 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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