On closed non-vanishing ideals in \(C_{B}(X)\). II: Compactness properties

DOI10.1016/j.topol.2018.03.013zbMath1393.46037arXiv1803.04672OpenAlexW2963683579WikidataQ130093941 ScholiaQ130093941MaRDI QIDQ1744605

Xianqiang Yang

Publication date: 23 April 2018

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04672

zbMATH Keywords

paracompactnesscompletely regular space\(\sigma\)-compactnessalgebra of continuous bounded functionscountable compactness, pseudocompactnessLindelöf proprty

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Noncompact covering properties (paracompact, Lindelöf, etc.) (54D20) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35)

Related Items (4)

On closed non-vanishing ideals in \(C_B(X)\). I: Connectedness properties ⋮ Representation theorems for closed ideals of C_B(X) ⋮ On closed non-vanishing ideals in \(C_{B}(X)\). II: Compactness properties ⋮ More on closed non-vanishing ideals in \(C_B(X)\)

Cites Work

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• Representation theorems for Banach algebras
• On closed non-vanishing ideals in \(C_{B}(X)\). II: Compactness properties
• A Gelfand-Naimark type theorem
• Stone-Čech compactification of a product
• REPRESENTATION THEOREMS FOR NORMED ALGEBRAS
• The Banach algebra of continuous bounded functions with separable support
• On closed subalgebras of CB(X)

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