Israel Journal of Mathematics

, Volume 101, Issue 1, pp 289–322 | Cite as

Calderón constants of finite-dimensional couples

  • Yuri Brudnyi
  • Alexander Shteinberg


The Calderón constant æ(\(\bar X\)) is a numerical invariant of finite-dimensional Banach couple\(\bar X = (X_0 ,X_1 )\) measuring its interpolation property with respect to linear operators acting in\(\bar X\). In the paper we prove the duality relation æ(\(\bar X\))≈ æ(\(\bar X\) *)and calculate the asymptotic behavior of æ(\(\bar X\)) as dim\(\bar X \to \infty \) for a few “classical” Banach couples.


Banach Space Linear Operator Bounded Linear Operator Banach Lattice Absolute Constant 
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© Hebrew University 1997

Authors and Affiliations

  1. 1.Department of MathematicsTechnion-Israel Institute of TechnologyHaifaIsrael

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