Algebraic reflexivity of diameter-preserving linear bijections between C(X)-spaces

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Antonio Jim´enez-Vargas
Universidad de Almer´ıa. Departamento de Matem´aticas
Fereshteh Sady
Tarbiat Modares University (Teheran)

We prove that if X and Y are first countable compact Hausdorff spaces, then the set of all diameter-preserving linear bijections from C(X) to C(Y ) is algebraically reflexive.

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algebraic reflexivity, local linear map, diameter-preserving map, weighted composition operator

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Jim´enez-Vargas, Antonio; Sady, Fereshteh. «Algebraic reflexivity of diameter-preserving linear bijections between C(X)-spaces». Publicacions Matemàtiques, 2021, vol.VOL 65, núm. 2, p. 727-46, http://raco.cat/index.php/PublicacionsMatematiques/article/view/390249.
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