\(\varepsilon\)-shading operator on Riesz spaces and order continuity of orthogonally additive operators

DOI10.1007/s00025-022-01742-0OpenAlexW4294408756WikidataQ114231932 ScholiaQ114231932MaRDI QIDQ2171984

Yanyan Li

Publication date: 14 September 2022

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-022-01742-0

zbMATH Keywords

order convergenceorder continuous operatororthogonally additive operator

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Positive linear operators and order-bounded operators (47B65)

Related Items (2)

Some remarks on orthogonally additive operators ⋮ Lateral order on complex vector lattices and narrow operators

Cites Work

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• The lateral order on Riesz spaces and orthogonally additive operators
• On order convergence of nets
• Order unbounded orthogonally additive operators in vector lattices
• Order continuity of orthogonally additive operators
• Banach lattices of orthogonally additive operators
• Measurable Riesz spaces
• Horizontal Egorov property of Riesz spaces
• Orthogonally Additive Operators on Vector Lattices

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