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Complex interpolation

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Part of the book series: CRM Series ((LNSNS,volume 16))

Abstract

The complex interpolation method is due to Calderon [18]. It works in complex interpolation couples. It may sound “artificial” compared to the more “natural” real interpolation method of chapter 1, see next Definitions 2.1 and 2.3. It is in fact an abstraction and a generalization of the method used in the proof of the Riesz—Thorin interpolation theorem, which we show below.

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© 2018 Scuola Normale Superiore Pisa

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Lunardi, A. (2018). Complex interpolation. In: Interpolation Theory. CRM Series(), vol 16. Edizioni della Normale, Pisa. https://doi.org/10.1007/978-88-7642-638-4_2

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