On 2-local diameter-preserving maps between C(X)-spaces

The 2-locality problem of diameter-preserving maps between C ( X )-spaces is addressed in this paper. For any compact Hausdorff space X with at least three points, we give an example of a 2-local diameter-preserving map on C ( X ) which is not linear. However, we show that for first countable compac...

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Veröffentlicht in:	Positivity : an international journal devoted to the theory and applications of positivity in analysis 2021-07, Vol.25 (3), p.867-881
Hauptverfasser:	Jiménez-Vargas, A., Sady, Fereshteh
Format:	Artikel
Sprache:	eng
Schlagworte:	Banach spaces Calculus of Variations and Optimal Control Optimization Econometrics Fourier Analysis Mathematics Mathematics and Statistics Norms Operator Theory Potential Theory Quotients
Online-Zugang:	Volltext
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