On the sum of narrow orthogonally additive operators

DOI10.3103/S1066369X20070014OpenAlexW3049219428MaRDI QIDQ2225871

Nariman Abasov

Publication date: 11 February 2021

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

Full work available at URL: https://doi.org/10.3103/s1066369x20070014

zbMATH Keywords

narrow operatorvector latticeorthogonally additive operator\(C\)-compact operatorlaterally-to-norm continuous operator

Mathematics Subject Classification ID

Linear operators on ordered spaces (47B60) Ordered topological linear spaces, vector lattices (46A40)

Related Items (5)

Narrow operators on tensor products of Köthe spaces ⋮ Lateral order on complex vector lattices and narrow operators ⋮ The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces ⋮ On a band generated by a disjointness preserving orthogonally additive operator ⋮ On band preserving orthogonally additive operators

Cites Work

• Unnamed Item
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• On extension of abstract Urysohn operators
• Narrow operators on function spaces and vector lattices
• On sums of narrow operators on Köthe function spaces
• Narrow operators on lattice-normed spaces
• Domination problem for \(AM\)-compact abstract Uryson operators
• A lattice approach to narrow operators
• Order unbounded orthogonally additive operators in vector lattices
• On two definitions of a narrow operator on Köthe-Bochner spaces
• Powers of quasi-Banach lattices and orthogonally additive polynomials
• Narrow orthogonally additive operators
• Domination problem for narrow orthogonally additive operators
• Narrow orthogonally additive operators in lattice-normed spaces
• On the sum of a narrow and a compact operators

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