Limiting real interpolation methods for arbitrary Banach couples

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Cobos, Fernando and Segurado, Alba (2012) Limiting real interpolation methods for arbitrary Banach couples. Studia Mathematica, 213 . pp. 243-273. ISSN 0039-3223

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Abstract

We study limiting K- and J-methods for arbitrary Banach couples. They are related by duality and they extend the methods already known in the ordered case. We investigate the behaviour of compact operators and we also discuss the representation of the methods by means of the corresponding dual functional. Finally, some examples of limiting function spaces are given.


Item Type:Article
Uncontrolled Keywords:J-functional; K-functional; limiting real interpolation; compact operators; Lorentz-Zygmund function spaces
Subjects:Sciences > Mathematics > Mathematical analysis
ID Code:22164
Deposited On:01 Jul 2013 10:07
Last Modified:18 Feb 2019 12:12

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