Geodesic
On the Existence of Asymptotic-lp Structures in Banach Spaces
Canadian mathematical bulletin, Tome 50 (2007) no. 4, pp. 619-631

Voir la notice de l'article provenant de la source Cambridge University Press

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- ${{l}_{p}}$ subspaces for some $1\,\le \,p\,\le \,\infty $ . This extends a result by Figiel, Frankiewicz, Komorowski and Ryll-Nardzewski.
DOI : 10.4153/CMB-2007-061-3
Mots-clés : 46B20, 46B40, 46B03 
Tcaciuc, Adi. On the Existence of Asymptotic-lp Structures in Banach Spaces. Canadian mathematical bulletin, Tome 50 (2007) no. 4, pp. 619-631. doi: 10.4153/CMB-2007-061-3
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