Range preserving maps between the spaces of continuous functions with values in a locally convex space

DOI10.1090/PROC/15108zbMath1462.46046arXiv1910.07761OpenAlexW3019922254MaRDI QIDQ5146545

Yuta Enami

Publication date: 26 January 2021

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.07761

zbMATH Keywords

locally convex spacesvector-valued continuous functionsrange preserving maps

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Topological linear spaces of continuous, differentiable or analytic functions (46E10)

Cites Work

• Unital and multiplicatively spectrum-preserving surjections between semi-simple commutative Banach algebras are linear and multiplicative
• Point multipliers and the Gleason-Kahane-Żelazko theorem
• A characterization of maximal ideals
• A characterization of multiplicative linear functionals in Banach algebras
• A characterization of maximal ideals in commutative Banach algebras

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