Separating maps and the nonarchimedean Hewitt theorem

DOI10.5802/ambp.16zbMath0844.46053OpenAlexW2316409916MaRDI QIDQ1898738

Edward Beckenstein, Lawrence Narici, Jesús Araujo

Publication date: 9 September 1996

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1995__2_1_19_0

zbMATH Keywords

weight functionbiseparating mapweighted composition mapcommutative nontrivially valued nonarchimedean fieldnonarchimedean counterpart to the well-known Hewitt theorem

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Algebraic properties of function spaces in general topology (54C40) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (1)

When is a separating map biseparating?

Cites Work

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• Automatic continuity of linear maps on spaces of continuous functions
• Biseparating maps and homeomorphic real-compactifications
• Automatic Continuity of Separating Linear Isomorphisms
• A Nonarchimedean Stone-Banach Theorem
• Rings of Continuous Functions with Values in a Topological Field
• Isometries between Non–Archimedean Spaces of Continuous Functionsa
• Rings of Real-Valued Continuous Functions. I

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