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

A. Jiménez-Vargas; Fereshteh Sady

doi:10.5565/PUBLMAT6522110

2021 Algebraic reflexivity of diameter-preserving linear bijections between $C(X)$-spaces

A. Jiménez-Vargas, Fereshteh Sady

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Abstract

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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A. Jiménez-Vargas and Fereshteh Sady "Algebraic reflexivity of diameter-preserving linear bijections between $C(X)$-spaces," Publicacions Matemàtiques 65(2), 727-746, (2021). https://doi.org/10.5565/PUBLMAT6522110

Received: 31 January 2020; Published: 2021

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