REPRESENTATION THEOREMS FOR NORMED ALGEBRAS

DOI10.1017/S1446788713000207zbMath1290.46046MaRDI QIDQ2873592

M. R. Koushesh

Publication date: 24 January 2014

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

zbMATH Keywords

countably compactcompact supportStone-Čech compactificationreal Banach algebraGelfand theoryLindelöf propertyHewitt realcompactificationcommutative Gelfand-Naimark theorem

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Banach algebras of continuous functions, function algebras (46J10) Representations of commutative topological algebras (46J25)

Related Items (7)

A Banach algebra representation theorem ⋮ A Gelfand-Naimark type theorem ⋮ Representation theorems for Banach algebras ⋮ 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

• \(C_\infty(X)\) and related ideals
• The partially ordered set of one-point extensions
• Connectedness modulo a topological property
• A pseudocompactification
• The Banach algebra of continuous bounded functions with separable support
• A Note on Certain Subalgebras of C()

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