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Separable Banach spaces which admitl ∞ n approximations

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Abstract

In this paper we study a class of separable Banach spaces which can be approximated by certain special finite-dimensional subspaces. This class is characterized in Theorem 1.1, from which it follows that the space of continuous scalar-valued functions on a compact metric space always belongs to this class, and that every member of this class has a monotone basis.

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Authors and Affiliations

  1. University of Washington, USA

    E. Michael & A. Pełczyński

  2. University of Warsaw, Poland

    E. Michael & A. Pełczyński

Authors
  1. E. Michael
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  2. A. Pełczyński
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Additional information

Supported in part by N.S.F. Grant 11-5020.

Supported in part by N.S.F. Grant GP-3579.

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Michael, E., Pełczyński, A. Separable Banach spaces which admitl ∞ n approximations. Israel J. Math. 4, 189–198 (1966). https://doi.org/10.1007/BF02760077

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  • DOI: https://doi.org/10.1007/BF02760077

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