A generalization of the Gelfand–Kolmogoroff theorem

Authors

Yunbai Dong, Wuhan Textile University
Pei Kee Lin, University of Memphis
Bentuo Zheng, University of MemphisFollow

Abstract

We introduce the notion of a ring isomorphism in norm. For such maps, we obtain an extension of the Gelfand–Kolmogoroff theorem by showing that a ring isomorphism in norm between spaces of continuous functions on compact spaces is a weighted composition operator.

Publication Title

Publicationes Mathematicae

Recommended Citation

Dong, Y., Lin, P., & Zheng, B. (2019). A generalization of the Gelfand–Kolmogoroff theorem. Publicationes Mathematicae, 94 (2022-01-02), 263-268. https://doi.org/10.5486/PMD.2019.8449