Arkiv för Matematik

  • Ark. Mat.
  • Volume 31, Number 2 (1993), 307-338.

Interpolation of subcouples and quotient couples

Svante Janson

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Abstract

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.

Note

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

Article information

Source
Ark. Mat., Volume 31, Number 2 (1993), 307-338.

Dates
Received: 18 December 1991
First available in Project Euclid: 31 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.afm/1485898257

Digital Object Identifier
doi:10.1007/BF02559489

Mathematical Reviews number (MathSciNet)
MR1263557

Zentralblatt MATH identifier
0803.46080

Rights
1993 © Institut Mittag-Leffler

Citation

Janson, Svante. Interpolation of subcouples and quotient couples. Ark. Mat. 31 (1993), no. 2, 307--338. doi:10.1007/BF02559489. https://projecteuclid.org/euclid.afm/1485898257


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