Calderón constants of finite-dimensional couples

Calderón constants of finite-dimensional couples

The Calderón constant æ() is a numerical invariant of finite-dimensional Banach couple measuring its interpolation property with respect to linear operators acting in. In the paper we prove the duality relation æ()≈ æ(*)and calculate the asymptotic behavior of æ() as dim for a few “classical” Banach...

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Veröffentlicht in:Israel journal of mathematics 1997-01, Vol.101 (1), p.289-322
Hauptverfasser: Brudnyi, Yuri, Shteinberg, Alexander
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Interpolation
Linear operators
Mathematics
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Zusammenfassung:The Calderón constant æ() is a numerical invariant of finite-dimensional Banach couple measuring its interpolation property with respect to linear operators acting in. In the paper we prove the duality relation æ()≈ æ(*)and calculate the asymptotic behavior of æ() as dim for a few “classical” Banach couples.
ISSN:0021-2172
1565-8511
DOI:10.1007/BF02760933