Interpolation of subcouples and quotient couples. (English) Zbl 0803.46080

Janson, Svante

Ark. Mat. 31, No. 2, 307-338 (1993).

Summary: We extend recent results by Pisier on \(K\)-subcouples, i.e. subcouples of an interpolation couple that preserve the \(K\)-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.

MSC:

46M35	Abstract interpolation of topological vector spaces
47B35	Toeplitz operators, Hankel operators, Wiener-Hopf operators

Keywords:

\(K\)-subcouples; subcouples of an interpolation couple that preserve the \(K\)-functional; quotient couples; reinterpretation of the Adamyan-Arov- Krein theorem for Hankel operators

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