On extension of abstract Urysohn operators

DOI10.1134/S0037446616030198zbMath1502.47073MaRDI QIDQ311272

M. A. Pliev, Mikhail M. Popov

Publication date: 29 September 2016

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

zbMATH Keywords

narrow operatorvector latticeabstract Uryson operatorlateral bandlateral ideallaterally continuous operatorsmallest extension

Mathematics Subject Classification ID

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

Related Items (17)

Orthogonally Additive Operators on Vector Lattices ⋮ The lateral order on Riesz spaces and orthogonally additive operators ⋮ Order unbounded orthogonally additive operators in vector lattices ⋮ Banach lattices of orthogonally additive operators ⋮ Representation theorems for regular operators ⋮ Orthogonally bi-additive operators. II ⋮ Atomic operators in vector lattices ⋮ On orthogonally additive operators in lattice-normed spaces ⋮ On linear sections of orthogonally additive operators ⋮ On the sum of narrow orthogonally additive operators ⋮ Finite elements in some vector lattices of nonlinear operators ⋮ On extensions of some nonlinear maps in vector lattices ⋮ On a band generated by a disjointness preserving orthogonally additive operator ⋮ On compact orthogonally additive operators ⋮ On band preserving orthogonally additive operators ⋮ On orthogonally additive operators in \(C\)-complete vector lattices ⋮ Orthogonally biadditive operators

Cites Work

• Narrow operators on function spaces and vector lattices
• Dominated operators. II
• Narrow orthogonally additive operators
• Extensions of orthogonally additive operators
• Set Theory
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