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The separable extension problem

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Abstract

It is proved that every infinite dimensional separable Banach space having the separable extension property is isomorphic to c0. It is also proved that every Banach space with a separable dual is “close” to a space of continuous functions on a countable compact space.

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Authors and Affiliations

  1. The Ohio State University, 43210, Columbus, Ohio, USA

    M. Zippin

  2. The Hebrew University of Jerusalem, Jerusalem, Israel

    M. Zippin

Authors
  1. M. Zippin
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Additional information

This research has been partially supported by NSF Grant MPS 72-04634-A03.

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Zippin, M. The separable extension problem. Israel J. Math. 26, 372–387 (1977). https://doi.org/10.1007/BF03007653

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  • DOI: https://doi.org/10.1007/BF03007653

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