The \(K\)-functional for \(p\)-convexifications

DOI10.1007/s11117-012-0200-xzbMath1283.46023OpenAlexW2046935296MaRDI QIDQ369643

Lech Maligranda

Publication date: 19 September 2013

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-012-0200-x

zbMATH Keywords

\(K\)-functionalBanach function spaces\(p\)-convexificationnormed ideal spaces

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) Banach lattices (46B42) Interpolation between normed linear spaces (46B70) Abstract interpolation of topological vector spaces (46M35)

Related Items (6)

Johnson-Schechtman inequalities for noncommutative martingales ⋮ Arazy-Cwikel property for quasi-Banach couples ⋮ Interpolation of nonlinear positive or order preserving operators on Banach lattices ⋮ On lattice properties of the Lorentz spaces \(L_{p,q}\) ⋮ 𝐿_{𝑝}+𝐿_{∞} and 𝐿_{𝑝}∩𝐿_{∞} are not isomorphic for all 1≤𝑝<∞, 𝑝≠2 ⋮ Lorentz spaces of vector measures and real interpolation of operators

Cites Work

• On some Banach lattices
• A generalization of Steffensen's inequality
• Interpolation of Banach lattices
• On the interpolation constant for subadditive operators in Orlicz spaces
• Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices
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