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Keywords:

  • K-functional;
  • real interpolation;
  • limiting spaces;
  • interpolation over the unit square;
  • msc (2010);
  • Primary: 46B70;
  • Secondary: 46E30

Abstract

We study limit K-spaces for general Banach couples, not necessarily ordered. They correspond to the extreme choice θ = 0, 1 in the realization of the real method as a K-space. We also show the connection of these limit spaces with interpolation methods defined by the unit square.