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Interpolation orbit functorsand reiteration theorems

✍ Scribed by Mieczysl̵aw Mastyl̵o

Publisher: Elsevier Science
Year: 2000
Tongue: French
Weight: 179 KB
Volume: 124
Category: Article
ISSN: 0007-4497
DOI: 10.1016/s0007-4497(00)00138-x

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✦ Synopsis

In this paper certain operator ideals are used to study interpolation orbit functors. It is shown that orbit functors from the couples of weighted p or c 0 spaces coincide on the class of regular finite dimensional couples with coorbit interpolation functors generated by certain operator ideals. As an application the reiteration theorems for interpolation orbits spaces in the dual couples of compatible Banach spaces satisfying certain approximation property are proved.

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