On orthogonally additive band operators and orthogonally additive disjointness preserving operators

DOI10.55730/1300-0098.3425MaRDI QIDQ6155709

Bahri Turan, Unnamed Author

Publication date: 6 June 2023

Published in: Turkish Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

vector latticeorthogonally additive band operatororthogonally additive disjointness preserving operatororthogonally additive inverse band operator

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Linear operators on ordered spaces (47B60) Nonlinear operators and their properties (47H99)

Cites Work

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• On order bounded disjointness preserving operators
• The lateral order on Riesz spaces and orthogonally additive operators
• Solutions of two problems in the theory of disjointness preserving operators
• The inverse of band preserving and disjointness preserving operators
• On ideal operators
• Disjointness-preserving orthogonally additive operators in vector lattices
• On extensions of some nonlinear maps in vector lattices
• On band preserving orthogonally additive operators
• On orthogonally additive operators in \(C\)-complete vector lattices
• Narrow orthogonally additive operators
• Invertible disjointness preserving operators
• A solution to a problem on invertible disjointness preserving operators
• Two problems in the theory of disjointness preserving operators
• On band operators

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