On the relation between complex and real methods of interpolation
Volume 125 / 1997
Studia Mathematica 125 (1997), 201-218
DOI: 10.4064/sm-125-3-201-218
Abstract
We study those compatible couples of Banach spaces for which the complex method interpolation spaces are also described by the K-method of interpolation. As an application we present counter-examples to Cwikel's conjecture that all interpolation spaces of a Banach couple are described by the K-method whenever all complex interpolation spaces have this property.
