A transfer principle for inequalities in vector lattices

DOI10.1016/j.jmaa.2010.08.046zbMath1215.46005OpenAlexW2065338021MaRDI QIDQ601326

Anatoly G. Kusraev

Publication date: 4 November 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.046

zbMATH Keywords

Jensen inequalityvector latticeCauchy-Schwarz-Bunyakovskiĭ inequalityhomogeneous functional calculusorthosymmetrypositive bilinear operator

Mathematics Subject Classification ID

Ordered topological linear spaces, vector lattices (46A40)

Cites Work

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• On the structure of orthosymmetric bilinear operators on vector lattices
• Convexity inequalities for positive operators
• Averaging operators and positive contractive projections
• Banach lattices
• Functional calculus on Riesz spaces
• Positive bilinear operators in Calderón-Lozanovskij spaces
• Almost \(f\)-algebras: Commutativity and the Cauchy-Schwarz inequality
• Quasilinearity & Hadamard's inequality
• Almost f-algebras and d-algebras
• (p, r)-convex functions on vector lattices
• Analytic Inequalities
• A note on the large sieve
• A General Moment Problem
• Almost orthogonal series

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