Narrow and \(C\)-compact orthogonally additive operators in lattice-normed spaces

DOI10.1007/s00025-019-1075-yOpenAlexW2965546640WikidataQ127392405 ScholiaQ127392405MaRDI QIDQ2275292

Faruk Polat, M. A. Pliev, Martin R. Weber

Publication date: 2 October 2019

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

Full work available at URL: https://doi.org/10.1007/s00025-019-1075-y

zbMATH Keywords

integral operatorKöthe-Bochner spacenarrow operatorvector latticelattice-normed spaceorthogonally additive operatorC-compact operator

Mathematics Subject Classification ID

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

Related Items (18)

Orthogonally Additive Operators on Vector Lattices ⋮ Operators taking values in Lebesgue-Bochner spaces ⋮ (Strongly-)Dunford-Pettis operators and narrow operators ⋮ 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 ⋮ Orthogonally bi-additive operators. II ⋮ Lateral order on complex vector lattices and narrow operators ⋮ On orthogonally additive operators in lattice-normed spaces ⋮ On \(C\)-compact orthogonally additive 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 compact orthogonally additive operators ⋮ On band preserving orthogonally additive operators ⋮ On orthogonally additive operators in Köthe-Bochner spaces ⋮ On orthogonally additive operators in \(C\)-complete vector lattices ⋮ Orthogonally biadditive operators ⋮ The Radon-Nikodým Theorem for Disjointness Preserving Orthogonally Additive Operators

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