Some remarks on orthogonally additive operators

DOI10.1007/s11117-023-01008-1arXiv2210.09720MaRDI QIDQ6073925

Vladimir Kadets, Olena Fotiy, Mikhail M. Popov

Publication date: 18 September 2023

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.09720

zbMATH Keywords

Riesz spacedisjointness preserving operatororthogonally additive operator

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Linear operators on function spaces (general) (47B38) Positive linear operators and order-bounded operators (47B65)

Cites Work

• Narrow operators on function spaces and vector lattices
• The lateral order on Riesz spaces and orthogonally additive operators
• Order unbounded orthogonally additive operators in vector lattices
• Disjointness-preserving orthogonally additive operators in vector lattices
• \(\varepsilon\)-shading operator on Riesz spaces and order continuity of orthogonally additive operators
• On \(C\)-compact orthogonally additive operators
• Narrow orthogonally additive operators
• Banach lattices of orthogonally additive operators
• Dividing measures and narrow operators
• Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach
• The Radon-Nikodým Theorem for Disjointness Preserving Orthogonally Additive Operators
• Projection lateral bands and lateral retracts
• On the Lyapunov convexity theorem with appications to sign-embeddings
• Orthogonally Additive Operators on Vector Lattices
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