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IDENTIFICATION OF EXTRAPOLATION SPACES FOR UNBOUNDED OPERATORS

 

作者: Rainer Nagel,   Gregor Nickel,   Silvia Romanelli,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1996)
卷期: Volume 19, issue 1-2  

页码: 83-100

 

ISSN:1607-3606

 

年代: 1996

 

DOI:10.1080/16073606.1996.9631827

 

出版商: Taylor & Francis Group

 

关键词: 47D06

 

数据来源: Taylor

 

摘要:

Abstract extrapolation spaces for strongly continuous semigroups of linear operators on Banach spaces have been constructed by various methods (see, e.g., [Am (1988)], [DaP-Gr (1984)], [Na (1983)], [Ne (1992)], [Wa (1986)]). Usually they appear as “artefacts” used in some intermediate step in order to solve the Cauchy problem on the original space. Only in a few cases (see the papers by the Dutch school onX⊙*, e.g., [Ne (1992)]), and in sharp contrast to the situation for interpolation spaces (see, e.g., [Gr (1969)], [DiB (1991)], [Lu (1985)], [Ac-Te (1987)]), the extrapolation spaces have been identified in a concrete way. It is our intention to fill this gap and subsequently to give an application of the extrapolation method to a perturbation problem.

 

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