Representation theorems for Banach algebras

DOI10.1016/J.TOPOL.2013.07.007zbMath1290.54012arXiv1302.2039OpenAlexW2066261615MaRDI QIDQ387222

M. R. Koushesh

Publication date: 20 December 2013

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

Full work available at URL: https://arxiv.org/abs/1302.2039

zbMATH Keywords

Stone-Čech compactificationreal Banach algebrafunctions of compact supportfunctions vanishing at infinityGelfand theory

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Banach algebras of continuous functions, function algebras (46J10) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Separability of topological spaces (54D65) Representations of commutative topological algebras (46J25)

Related Items (6)

A Banach algebra representation theorem ⋮ A Gelfand-Naimark type theorem ⋮ 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
• A pseudocompactification
• M-structure and the Banach-Stone theorem
• Topological extensions with compact remainder
• ONE-POINT EXTENSIONS AND LOCAL TOPOLOGICAL PROPERTIES
• REPRESENTATION THEOREMS FOR NORMED ALGEBRAS
• The Banach algebra of continuous bounded functions with separable support
• Some generalizations and unifications ofC_K(X),Cψ(X) ANDC∞(X)
• Compactification-like extensions
• Properties of Stone-Cech Compactifications of Discrete Spaces
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