Topologies on the ideal space of a Banach algebra and spectral synthesis

DOI10.1090/S0002-9939-97-03831-8zbMath0883.46032OpenAlexW1545655749MaRDI QIDQ4356733

Ferdinand Beckhoff

Publication date: 1 October 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03831-8

zbMATH Keywords

commutative Banach algebranormalityweak topologyspectral synthesisGelfand spaceclosed two-sided ideals

Mathematics Subject Classification ID

Ideals, maximal ideals, boundaries (46J20)

Related Items (4)

Countability properties of the ideal space of a Banach algebra and \(D\)-algebras ⋮ \(R_\delta\)-supercontinuous functions ⋮ Unnamed Item ⋮ Spectral synthesis and topologies on ideal spaces for Banach \(^{*}\)-algebras

Cites Work

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• Construction and analysis of some convolution algebras
• Projections on Invariant Subspaces
• Spectral synthesis of ideals in algebras of functions having generalized derivatives
• Shorter Notes: A Proof of the Principle of Local Reflexivity
• Minimal primal ideals in Banach algebras
• Topologies for Primal Ideals
• Topologies on the space of ideals of a Banach algebra
• Topologies of compact families on the ideal space of a Banach algebra
• The Structure of Ideals and Point Derivations in Banach Algebras of Lipschitz Functions
• Applications of the Theory of Boolean Rings to General Topology

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