K-monotone weighted couples of Banach lattices

DOI10.1134/S0037446606010162zbMath1222.46017OpenAlexW2021613921MaRDI QIDQ536640

Konstantin Tikhomirov

Publication date: 19 May 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446606010162

zbMATH Keywords

interpolation of operators\(K\)-monotone coupleweighted couple

Mathematics Subject Classification ID

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

Cites Work

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• On interpolation between \(L_ 1+L_ \infty\) and \(L_ 1\cap{}L_ \infty\)
• On stability of \(\mathcal{K}\)-monotonicity of Banach couples
• Interpolation of weighted $L_{p}$-spaces
• Calderón couples of rearrangement invariant spaces
• Interpolation of weighted Banach lattices. A characterization of relatively decomposable Banach lattices