On the Existence of Asymptotic-lp Structures in Banach Spaces

• Autores: Adi Tcaciuc
• Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 4, 2007, págs. 619-631
• Idioma: inglés
• DOI: 10.4153/cmb-2007-061-3
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• Resumen

  • 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.