ℕ-compactness and weighted composition maps

DOI10.1090/S0002-9939-01-06135-4zbMath0995.47016MaRDI QIDQ2781275

Jesús Araujo

Publication date: 19 March 2002

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

zbMATH Keywords

non-Archimedean valuationweighted composition map\(\mathbb{N}\)-compact spaceStone-Banach theorem

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

• Biseparating maps and homeomorphic real-compactifications
• When is a separating map biseparating?
• A Nonarchimedean Stone-Banach Theorem
• $\mathbb N$-compactness and automatic continuity in ultrametric spaces of bounded continuous functions
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