On the relation between complex and real methods of interpolation

Mastyło, Mieczysław; Ovchinnikov, Vladimir

Mastyło, Mieczysław ; Ovchinnikov, Vladimir

Studia Mathematica, Tome 122 (1997), p. 201-218 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 1997-01-01

Zbl 0910.46058

EUDML-ID : urn:eudml:doc:216433

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     author = {Mieczys\l aw Masty\l o and Vladimir Ovchinnikov},
     title = {On the relation between complex and real methods of interpolation},
     journal = {Studia Mathematica},
     volume = {122},
     year = {1997},
     pages = {201-218},
     zbl = {0910.46058},
     language = {en},
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Mastyło, Mieczysław; Ovchinnikov, Vladimir. On the relation between complex and real methods of interpolation. Studia Mathematica, Tome 122 (1997) pp. 201-218. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv125i3p201bwm/

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