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Interpolation of subcouples and quotient couples

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Arkiv för Matematik

Abstract

We extend recent results by Pisier onK-subcouples, i.e. subcouples of an interpolation couple that preserve theK-functional (up to constants) and corresponding notions for quotient couples. Examples include interpolation (in the pointwise sense) and a reinterpretation of the Adamyan-Arov-Krein theorem for Hankel operators.

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Authors and Affiliations

  1. Department of Mathematics, Uppsala University, P.O. Box 480, 751 06, Uppsala, Sweden

    Svante Janson

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  1. Svante Janson
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Additional information

This work was done at the Mittag-Leffler Institute. I am particularly grateful to Richard Rochberg for helpful discussions.

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Janson, S. Interpolation of subcouples and quotient couples. Ark. Mat. 31, 307–338 (1993). https://doi.org/10.1007/BF02559489

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  • DOI: https://doi.org/10.1007/BF02559489

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