On the Effective Existence of Schauder Bases

  • Authors:
  • Volker Bosserhoff

  • Affiliations:
  • Institut für Theoretische Informatik und Mathematik, Fakultät für Informatik, Universität der Bundeswehr, Munich, Germany

  • Venue:
  • Electronic Notes in Theoretical Computer Science (ENTCS)
  • Year:
  • 2008

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Abstract

We construct a computable Banach space which possesses a Schauder basis, but does not possess any computable Schauder basis.