On the relation between complex and real methods of interpolation
Studia Mathematica, Tome 125 (1997) no. 3, pp. 201-218
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},
year = {1997},
volume = {125},
number = {3},
doi = {10.4064/sm-125-3-201-218},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-125-3-201-218/}
}
TY - JOUR AU - Mieczysław Mastyło TI - On the relation between complex and real methods of interpolation JO - Studia Mathematica PY - 1997 SP - 201 EP - 218 VL - 125 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-125-3-201-218/ DO - 10.4064/sm-125-3-201-218 LA - en ID - 10_4064_sm_125_3_201_218 ER -
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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