Diffuse orthogonally additive operators

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Generation, random and stochastic difference and differential equations (37H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Ordered topological linear spaces, vector lattices (46A40) Nonlinear operators and their properties (47H99)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
On extension of abstract Urysohn operators
Disjointness and order projections in the vector lattices of abstract Uryson operators
Narrow operators on function spaces and vector lattices
Ring isomorphisms of Murray-von Neumann algebras
The lateral order on Riesz spaces and orthogonally additive operators
Extension theorems of Hahn-Banach type for nonlinear disjointly additive functionals and operators in Lebesgue spaces
Integral representation of linear operators
Order unbounded orthogonally additive operators in vector lattices
Nonlinear elliptic partial differential equations. An introduction
Disjointness-preserving orthogonally additive operators in vector lattices
Dominated orthogonally additive operators in lattice-normed spaces
Diffuse and atomic components of a positive operator
The Kalton and Rosenthal type decomposition of operators in Köthe-Bochner spaces
On a band generated by a disjointness preserving orthogonally additive operator
On band preserving orthogonally additive operators
On orthogonally additive operators in \(C\)-complete vector lattices
\(\varepsilon\)-shading operator on Riesz spaces and order continuity of orthogonally additive operators
Completely additive and \(C\)-compact operators in lattice-normed spaces
On \(C\)-compact orthogonally additive operators
Order continuity of orthogonally additive operators
Narrow orthogonally additive operators
Narrow and \(C\)-compact orthogonally additive operators in lattice-normed spaces
On sums of narrow and compact operators
A factorization for orthogonally additive operators on Banach lattices
Banach lattices of orthogonally additive operators
Narrow operators on tensor products of Köthe spaces
On orthogonally additive operators in lattice-normed spaces
On the Representation of Order Continuous Operators by Random Measures
Bukhvalov type characterizations of Urysohn operators
Representation Theorems for Nonlinear Disjointly Additive Functionals and Operators on Sobolev Spaces
Valuations on Banach Lattices
A Radon-Nikodym theorem for nonlinear functionals on Banach lattices
Atomic operators, random dynamical systems and invariant measures
Derivations in disjointly complete commutative regular algebras
Representation theorems for regular operators
Partial orders on \(\ast \)-regular rings