Nonlinear diameter preserving maps on function spaces

DOI10.2989/16073606.2018.1536896zbMath1435.47043OpenAlexW2909567462WikidataQ128580956 ScholiaQ128580956MaRDI QIDQ5215388

Juan J. Font, Maliheh Hosseini

Publication date: 10 February 2020

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2018.1536896

zbMATH Keywords

extreme pointChoquet boundaryfunction spacesfunction algebrasdiameter preserving maps

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items (2)

Algebraic reflexivity of diameter-preserving linear bijections between \(C(X)\)-spaces ⋮ On 2-local diameter-preserving maps between \(C(X)\)-spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonlinear diameter preserving maps between certain function spaces
• Diameter preserving mappings between function algebras
• Selected preserver problems on algebraic structures of linear operators and on function spaces
• There's something about the diameter
• Linear bijections which preserve the diameter of vector-valued maps
• Diameter preserving linear bijections and \({\mathcal C}_0(L)\) spaces
• Spectrum-preserving linear maps
• Diameter preserving linear bijections of \(C(X)\)
• A characterization of locally compact spaces with homeomorphic one-point compactifications
• Diameter preserving maps on function spaces
• Extreme points and the diameter norm
• Diameter preserving linear maps and isometries
• Real-linear isometries between subspaces of continuous functions
• Diameter-preserving linear bijections of function spaces
• Some characterizations of the automorphisms of $B(H)$ and $C(X)$
• Multiplicatively spectrum-preserving maps of function algebras
• Automatic Continuity of Separating Linear Isomorphisms
• Nonlinear generalizations of the Banach-Stone theorem
• Diameter-preserving maps on various classes of function spaces
• ON DIAMETER PRESERVING LINEAR MAPS
• Linear isometries between subspaces of continuous functions

This page was built for publication: Nonlinear diameter preserving maps on function spaces