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On the Existence of Asymptotic-lp Structures in Banach Spaces

  • Adi Tcaciuc (a1)

Abstract

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.

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References

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On the Existence of Asymptotic-lp Structures in Banach Spaces

  • Adi Tcaciuc (a1)

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