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

2020/04/13 by A. Jiménez-Vargas, Jiménez-Vargas, A., Fereshteh Sady +1
Mathematics · #46B04 #47B38 #Advanced Banach Space Theory #Advanced Topics in Algebra #FOS: Mathematics #Functional Analysis (math.FA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2004.05864

openalex publication_date 2020/04/13 · openalex created_date 2020/04/17 · openalex updated_date 2026/07/28

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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