Resumen de On the Existence of Asymptotic-lp Structures in Banach Spaces

Adi Tcaciuc

• It is shown that if a Banach space is saturated with infinite dimensional subspaces in which all "special" n-tuples of vectors are equivalent with constants independent of n-tuples and of n, then the space contains asymptotic-lp subspaces for some 1 leq p leq infty. This extends a result by Figiel, Frankiewicz, Komorowski and Ryll-Nardzewski.