Separating maps and linear isometries between some spaces of continuous functions

DOI10.1006/jmaa.1998.6031zbMath0918.46026OpenAlexW2093706382MaRDI QIDQ1268735

Jesús Araujo

Publication date: 21 January 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1998.6031

zbMATH Keywords

locally compact Hausdorff spaceadditive maphomeomorphicexistence of a biseparating map

Mathematics Subject Classification ID

Isometric theory of Banach spaces (46B04) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (9)

Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity ⋮ Disjointness preserving maps between vector-valued group algebras ⋮ Additive jointly separating maps and ring homomorphisms ⋮ Linear biseparating maps between vector-valued little Lipschitz function spaces ⋮ Surjective isometries on absolutely continuous vector valued function spaces ⋮ Biseparating maps on Fréchet function algebras ⋮ Banach-Stone theorems for vector valued functions on completely regular spaces ⋮ Kaplansky Theorem for completely regular spaces ⋮ Biseparating maps between Lipschitz function spaces

Cites Work

• Unnamed Item
• Automatic continuity of linear maps on spaces of continuous functions
• On separating maps between locally compact spaces
• Biseparating maps and homeomorphic real-compactifications
• Banach-Stone theorems and separating maps
• Weighted composition operators of \(C_0 (X)\)'s
• When is a separating map biseparating?
• Automatic Continuity of Separating Linear Isomorphisms
• Automatic continuity of biseparating maps
• Linear isometries between subspaces of continuous functions

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