ON THE RELATION BETWEEN COMPLEX AND REAL METHODS OF INTERPOLATION

Authors
MASTYLO M OVCHINNIKOV VI
Citation
M. Mastylo et Vi. Ovchinnikov, ON THE RELATION BETWEEN COMPLEX AND REAL METHODS OF INTERPOLATION, Studia Mathematica, 125(3), 1997, pp. 201-218
Citations number
29
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
125
Issue
3
Year of publication
1997
Pages
201 - 218
Database
ISI
SICI code
0039-3223(1997)125:3<201:OTRBCA>2.0.ZU;2-B
Abstract
We study those compatible couples of Banach spaces for which the compl ex method interpolation spaces are also described by the K-method of i nterpolation. As an application we present counter-examples to Cwikel' s conjecture that all interpolation spaces of a Banach couple are desc ribed by the K-method whenever all complex interpolation spaces have t his property.