Domination problem for \(AM\)-compact abstract Uryson operators

DOI10.1007/s00013-016-0937-8OpenAlexW2471296315MaRDI QIDQ730019

Vladimir Orlov, Dmitry Rode, M. A. Pliev

Publication date: 23 December 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0937-8

zbMATH Keywords

vector latticesfragments\(AM\)-compact operatorsabstract Uryson operatorsdomination problemorthogonally additive operators

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Nonlinear operators and their properties (47H99)

Related Items (19)

Orthogonally Additive Operators on Vector Lattices ⋮ The lateral order on Riesz spaces and orthogonally additive operators ⋮ Order unbounded orthogonally additive operators in vector lattices ⋮ Completely additive and \(C\)-compact operators in lattice-normed spaces ⋮ The lateral order on Riesz spaces and orthogonally additive operators. II ⋮ Lateral order on complex vector lattices and narrow operators ⋮ 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 ⋮ On extensions of some nonlinear maps in vector lattices ⋮ Narrow and \(C\)-compact orthogonally additive operators in lattice-normed spaces ⋮ On compact orthogonally additive operators ⋮ Disjointness-preserving orthogonally additive operators in vector lattices ⋮ Dominated orthogonally additive operators in lattice-normed spaces ⋮ On band preserving orthogonally additive operators ⋮ On orthogonally additive operators in \(C\)-complete vector lattices ⋮ The Radon-Nikodým Theorem for Disjointness Preserving Orthogonally Additive Operators

Cites Work

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• Disjointness and order projections in the vector lattices of abstract Uryson operators
• Compact operators in Banach lattices
• Narrow orthogonally additive operators
• Extensions of orthogonally additive operators
• Domination problem for narrow orthogonally additive operators
• Dividing measures and narrow operators

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