Orthogonally Additive Operators on Vector Lattices
DOI10.1007/978-3-031-02104-6_10OpenAlexW4294576584MaRDI QIDQ5888400
Publication date: 25 April 2023
Published in: Trends in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-02104-6_10
Nemytskii operatornarrow operatorvector latticeabstract Uryson operatorlateral bandlateral idealorthogonally additive operator\(C\)-compact operator\textit{AM}-compact operator
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Geometry and structure of normed linear spaces (46B20) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Equations and inequalities involving linear operators, with vector unknowns (47A50)
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- 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
- Domination problem for \(AM\)-compact abstract Uryson operators
- The lateral order on Riesz spaces and orthogonally additive operators
- A lattice approach to narrow operators
- Compact operators in Banach lattices
- The components of a positive operator
- Banach lattices
- Extension theorems of Hahn-Banach type for nonlinear disjointly additive functionals and operators in Lebesgue spaces
- Regular-norm balls can be closed in the strong operator topology
- Order unbounded orthogonally additive operators in vector lattices
- Nonlinear elliptic partial differential equations. An introduction
- Dominated orthogonally additive operators in lattice-normed spaces
- On extensions of some nonlinear maps in vector lattices
- 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
- Completely additive and \(C\)-compact operators in lattice-normed spaces
- Atomic operators in vector lattices
- On \(C\)-compact orthogonally additive operators
- Order continuity of orthogonally additive operators
- Narrow orthogonally additive operators
- Extensions of orthogonally additive operators
- Narrow and \(C\)-compact orthogonally additive operators in lattice-normed spaces
- On sums of narrow and compact operators
- Domination problem for narrow orthogonally additive operators
- A characterization of non-linear maps satisfying orthogonality properties
- A factorization for orthogonally additive operators on Banach lattices
- Banach lattices of orthogonally additive operators
- Lateral continuity and orthogonally additive operators
- Embeddings of 𝐿¹ in 𝐿¹
- On the Representation of Order Continuous Operators by Random Measures
- Subspaces of $L^{1}$ containing $L^{1}$
- Bukhvalov type characterizations of Urysohn operators
- Representation Theorems for Nonlinear Disjointly Additive Functionals and Operators on Sobolev Spaces
- Valuations on Banach Lattices
- Horizontal Egorov property of Riesz spaces
- Projection lateral bands and lateral retracts
- Atomic operators, random dynamical systems and invariant measures
- Bounded Variation and Around