Kaplansky Theorem for completely regular spaces

DOI10.1090/S0002-9939-2014-11889-2zbMath1292.46010MaRDI QIDQ5401376

Ngai-Ching Wong, Lei Li

Publication date: 13 March 2014

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

zbMATH Keywords

Banach-Stone theoremsnonvanishing preserversrealcompact spacesdisjointness preserverscommon zero preservers

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Classical Banach spaces in the general theory (46B25) Banach lattices (46B42) Positive linear operators and order-bounded operators (47B65) Realcompactness and realcompactification (54D60)

Related Items (7)

Disjointness Preservers and Banach-Stone Theorems ⋮ Recovering a compact Hausdorff space $X$ from the compatibility ordering on $C(X)$ ⋮ Nonlinear disjointness/supplement preservers of nonnegative continuous functions ⋮ Banach-Stone theorems for disjointness preserving relations ⋮ Banach-Stone theorems for vector valued functions on completely regular spaces ⋮ A general Banach-Stone type theorem and applications ⋮ Isometries on spaces of absolutely continuous functions in a noncompact framework

Cites Work

• Unnamed Item
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• Maps preserving common zeros between subspaces of vector-valued continuous functions
• Banach-Stone theorems for maps preserving common zeros
• Biseparating maps between Lipschitz function spaces
• A primer on spectral theory
• Separating maps and linear isometries between some spaces of continuous functions
• Composition operators between algebras of uniformly continuous functions
• A Banach-Stone theorem for uniformly continuous functions
• Realcompactness and Banach-Stone theorems
• Homomorphisms on function lattices
• Weighted composition operators of \(C_0 (X)\)'s
• A characterization of maximal ideals
• Spectrum-Preserving Linear Mappings between Banach Algebras or Jordan-Banach Algebras
• Automatic Continuity of Separating Linear Isomorphisms
• A characterization of maximal ideals in commutative Banach algebras
• Lattices of continuous functions
• Lattices of Continuous Functions II

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