A geometrical approach to the \(K\)-divisibility problem

DOI10.1007/BF02762277zbMath0919.46017MaRDI QIDQ1279638

Pavel Shvartsman

Publication date: 5 September 1999

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(K\)-functionalBanach couple\(K\)-divisibility theoremKelly's type intersection result

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) Abstract interpolation of topological vector spaces (46M35)

Related Items (2)

On the \(K\)-divisibility constant for some special finite-dimensional Banach couples ⋮ Optimal decompositions for the \(K\)-functional for a couple of Banach lattices

Cites Work

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• K-divisibility of the K-functional and Calderón couples
• On the fundamental lemma of interpolation theory
• Reiteration theorems for real interpolation and approximation spaces
• Interpolation of Caldéron and Ovčinnikov pairs
• Extrapolation and optimal decompositions: with applications to analysis
• Calderón couples of Lipschitz spaces
• K-Divisibility and a Theorem of Lorentz and Shimogaki
• On the reitration property of $\vec{X}_{\phi,q}$ spaces.

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