A characterization of non-linear maps satisfying orthogonality properties

DOI10.1007/s11117-016-0408-2OpenAlexW2305717045MaRDI QIDQ2358758

Yanyan Li

Publication date: 16 June 2017

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-016-0408-2

zbMATH Keywords

monotonefunction spacesextremally disconnecteddisjointness preservingorthogonally additiveorder preservingnon-linear maps

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Banach lattices (46B42) Linear operators on function spaces (general) (47B38) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Extremally disconnected spaces, (F)-spaces, etc. (54G05)

Related Items (15)

Orthogonally Additive Operators on Vector Lattices ⋮ The lateral order on Riesz spaces and orthogonally additive operators ⋮ Order unbounded orthogonally additive operators in vector lattices ⋮ A factorization for orthogonally additive operators on Banach lattices ⋮ Nonlinear functionals on Banach lattices satisfying disjointness preserving properties ⋮ Completely additive and \(C\)-compact operators in lattice-normed spaces ⋮ Atomic operators in vector lattices ⋮ 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 ⋮ Disjointness-preserving orthogonally additive operators in vector lattices ⋮ Dominated orthogonally additive operators in lattice-normed spaces ⋮ On orthogonally additive operators in \(C\)-complete vector lattices ⋮ Orthogonally biadditive operators

Cites Work

• Unnamed Item
• Unnamed Item
• Lattice preserving maps on lattices of continuous functions
• Homomorphisms on lattices of continuous functions
• Order preserving bijections of \(C_+(X)\)
• Preservers on Hilbert space effects.
• Order preserving bijections of \(\mathcal C(\mathcal X,\mathcal I)\)
• Operators on Banach Lattices as Weighted Compositions

This page was built for publication: A characterization of non-linear maps satisfying orthogonality properties