On the relation between complex and real methods of interpolation
Studia Mathematica, Tome 125 (1997) no. 3, pp. 201-218
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
@article{10_4064_sm_125_3_201_218,
author = {Mieczys{\l}aw Masty{\l}o},
title = {On the relation between complex and real methods of interpolation},
journal = {Studia Mathematica},
pages = {201--218},
publisher = {mathdoc},
volume = {125},
number = {3},
year = {1997},
doi = {10.4064/sm-125-3-201-218},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-125-3-201-218/}
}
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Mieczysław Mastyło. On the relation between complex and real methods of interpolation. Studia Mathematica, Tome 125 (1997) no. 3, pp. 201-218. doi: 10.4064/sm-125-3-201-218
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