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Keywords:

  • Aron-Berner extension;
  • P-continuity;
  • polynomials;
  • Banach spaces;
  • MSC (2010) 46B20;
  • 46B28;
  • 46G20

Abstract

In this paper we show that the Aron-Berner type extension of polynomials preserves the P-continuity property. To this end we introduce a new version of Goldstine's Theorem for locally complemented subspaces. © 2011 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim