Nonlinear diameter preserving maps between certain function spaces

DOI10.1007/S00009-016-0742-4zbMath1356.47041OpenAlexW2410494295MaRDI QIDQ346898

Arya Jamshidi, Fereshteh Sady

Publication date: 30 November 2016

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

Full work available at URL: https://doi.org/10.1007/s00009-016-0742-4

zbMATH Keywords

extreme pointisometryweighted composition operatordiameter preserving

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items (4)

Algebraic reflexivity of diameter-preserving linear bijections between \(C(X)\)-spaces ⋮ A characterization of nonlinear Hölder seminorm preserving bijections ⋮ On 2-local diameter-preserving maps between \(C(X)\)-spaces ⋮ Nonlinear diameter preserving maps on function spaces

Cites Work

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• Diameter preserving mappings between function algebras
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• There's something about the diameter
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• Diameter preserving linear bijections of \(C(X)\)
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• Real-linear isometries between subspaces of continuous functions
• Real-linear isometries between certain subspaces of continuous functions
• Diameter-preserving linear bijections of function spaces
• Diameter-preserving maps on various classes of function spaces
• ON DIAMETER PRESERVING LINEAR MAPS

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