Narrow orthogonally additive operators in lattice-normed spaces

DOI10.1134/S0037446617010177zbMath1377.47021arXiv1509.09189OpenAlexW2963373267MaRDI QIDQ2360270

Xiao Chun Fang, M. A. Pliev

Publication date: 30 June 2017

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.09189

zbMATH Keywords

Banach latticenarrow operatorvector latticelattice-normed spaceorthogonally additive operatordominated Urysohn operator

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Banach lattices (46B42) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items (20)

Order unbounded orthogonally additive operators in vector lattices ⋮ On two definitions of a narrow operator on Köthe-Bochner spaces ⋮ Operators taking values in Lebesgue-Bochner spaces ⋮ Partial integral operators on Banach-Kantorovich spaces ⋮ Completely additive and \(C\)-compact operators in lattice-normed spaces ⋮ Narrow operators on tensor products of Köthe spaces ⋮ Atomic operators in vector lattices ⋮ On linear sections of orthogonally additive operators ⋮ On the sum of narrow orthogonally additive operators ⋮ On \(C\)-compact orthogonally additive operators ⋮ Finite elements in some vector lattices of nonlinear operators ⋮ The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces ⋮ Narrow and \(C\)-compact orthogonally additive operators in lattice-normed spaces ⋮ On a band generated by a disjointness preserving orthogonally additive operator ⋮ On compact orthogonally additive operators ⋮ Dominated orthogonally additive operators in lattice-normed spaces ⋮ On band preserving orthogonally additive operators ⋮ On orthogonally additive operators in Köthe-Bochner spaces ⋮ On the sum of narrow and C-compact operators ⋮ On orthogonally additive operators in \(C\)-complete vector lattices

Cites Work

• Disjointness and order projections in the vector lattices of abstract Uryson operators
• Narrow operators on function spaces and vector lattices
• Dominated operators. II
• Narrow orthogonally additive operators
• Extensions of orthogonally additive operators
• Domination problem for narrow orthogonally additive operators
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