Analytic properties in the spectrum of certain Banach algebras

DOI10.1007/s00209-008-0322-9zbMath1176.32004OpenAlexW2054368053MaRDI QIDQ957925

Linus Carlsson

Publication date: 1 December 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-008-0322-9

zbMATH Keywords

Banach algebrasholomorphic functions\({\overline\partial}\) -problemsgeneralized Shilov boundaryNebenhülle

Mathematics Subject Classification ID

Ideals, maximal ideals, boundaries (46J20) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Banach algebra techniques applied to functions of several complex variables (32A65)

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An equivalence to the Gleason problem, Nebenhülle and the Gleason problem

Cites Work

• Trivial generators for nontrivial fibres
• Nebenhülle and the Gleason problem
• Spectrum of certain Banach algebras and ∂-problems
• A Generalized Shilov Boundary and Analytic Structure
• Extension of holomorphic functions
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