Interpolation of nonlinear positive or order preserving operators on Banach lattices

DOI10.1007/s11117-019-00688-yzbMath1476.46030arXiv1810.09684OpenAlexW2962823301MaRDI QIDQ2188354

Ralph Chill, Sebastian Król, Alberto Fiorenza

Publication date: 10 June 2020

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.09684

zbMATH Keywords

order preserving operatorsnormal spacesnonlinear interpolationexact interpolation spacespositive Gagliardo-Peetre operators

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Banach lattices (46B42) Interpolation between normed linear spaces (46B70) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Abstract interpolation of topological vector spaces (46M35)

Related Items (2)

Arazy-Cwikel property for quasi-Banach couples ⋮ Modulars from Nakano onwards

Cites Work

• The \(K\)-functional for \(p\)-convexifications
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• Interpolation of positive operators
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• New examples of K-monotone weighted Banach couples
• Some remarks on Orlicz's interpolation theorem
• On the interpolation constant for subadditive operators in Orlicz spaces
• Interpolation of weighted $L_{p}$-spaces
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