Banach-Stone theorems for disjointness preserving relations

DOI10.1007/s43037-024-00327-zMaRDI QIDQ6124336

Denny H. Leung, Wee-Kee Tang

Publication date: 27 March 2024

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

order isomorphismsBanach-Stone theoremsnonvanishing preserversdisjointness preserving relations

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Spaces of vector- and operator-valued functions (46E40) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Linear operators on function spaces (general) (47B38) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Banach spaces of continuous, differentiable or analytic functions (46E15) Lattices of continuous, differentiable or analytic functions (46E05) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Linear biseparating maps between vector-valued little Lipschitz function spaces
• Maps preserving common zeros between subspaces of vector-valued continuous functions
• Automatic continuity and representation of group homomorphisms defined between groups of continuous functions
• Homomorphisms on lattices of continuous functions
• Banach-Stone theorems for maps preserving common zeros
• Biseparating maps between Lipschitz function spaces
• Biseparating maps between operator algebras.
• Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity
• Biseparating maps and homeomorphic real-compactifications
• A general Banach-Stone type theorem and applications
• Disjointness preserving operators between little Lipschitz algebras
• Nonlinear order isomorphisms on function spaces
• Biseparating linear maps between continuous vector-valued function spaces
• Kaplansky Theorem for completely regular spaces
• Characterizations of Disjointness preserving operators on vector-valued function spaces
• Lattices of continuous functions
• Disjointness Preservers and Banach-Stone Theorems
• Lattices of uniformly continuous functions
• Nonlinear disjointness/supplement preservers of nonnegative continuous functions

This page was built for publication: Banach-Stone theorems for disjointness preserving relations