On the relation between complex and real methods of interpolation
Studia Mathematica, Tome 125 (1997) no. 3, pp. 201-218
Cet article a éte moissonné depuis 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},
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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