Interpolation of Banach lattices and factorization of \(p\)-convex and \(q\)-concave operators

DOI10.1007/s00020-009-1733-7zbMath1210.47062OpenAlexW2065436997MaRDI QIDQ989929

Pedro Tradacete, Yves Raynaud

Publication date: 23 August 2010

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-009-1733-7

zbMATH Keywords

factorisation\(p\)-convex operator\(q\)-concave operatorinterpolation of Banach latticesmethod of Calderón-Lozanovskij

Mathematics Subject Classification ID

Banach lattices (46B42) Linear operators on ordered spaces (47B60) Interpolation between normed linear spaces (46B70)

Related Items

Interpolation of abstract Cesàro, Copson and Tandori spaces, Powers of quasi-Banach lattices and orthogonally additive polynomials, Arithmetic separation and Banach-Saks sets, Calderón-Lozanovskii interpolation on quasi-Banach lattices, LW-compact operators and domination problem

Cites Work

• Some applications of the complex interpolation method to Banach lattices
• Factoring operators through Banach lattices not containing C(0,1)
• Uniformly convex norms on Banach lattices
• Intermediate spaces and interpolation, the complex method
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