Optimal decompositions for the \(K\)-functional for a couple of Banach lattices

DOI10.1007/BF02388790zbMath1028.46034MaRDI QIDQ1409062

Uri Keich, Michael Cwikel

Publication date: 30 September 2003

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Banach latticesinterpolation theoryK-functionalK-divisibilityexactly monotone coupleK-divisibility constant

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Interpolation between normed linear spaces (46B70)

Related Items (3)

On the \(K\)-divisibility constant for some special finite-dimensional Banach couples ⋮ Interpolation of nonlinear positive or order preserving operators on Banach lattices ⋮ The \(K\)-divisibility constant for couples of Banach lattices.

Cites Work

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• On the \(K\)-functional of interpolation between \(L^ p\) and Orlicz spaces
• K-divisibility of the K-functional and Calderón couples
• On the fundamental lemma of interpolation theory
• An explicit expression for the \(K_ r\) functionals of interpolation between \(L^ p\) spaces
• Monotonicity properties of interpolation spaces
• A geometrical approach to the \(K\)-divisibility problem
• On the K functional between \(L^ 1\) and \(L^ 2\) and some other K functionals
• Spaces \(\Lambda_\alpha\)(X) and interpolation
• Interpolation of Operators with Change of Measures
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces

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