A hull with no nontrivial Gleason parts

DOI10.1512/iumj.2018.67.7300zbMath1405.46033arXiv1605.04020OpenAlexW2962902499MaRDI QIDQ4962382

Alexander J. Izzo, Swarup Narayan Ghosh, Brian J. Cole

Publication date: 2 November 2018

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.04020

zbMATH Keywords

Gleason partspolynomial convexitypoint derivationspolynomially convex hullspeak point conjecturedense invertibles

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20)

Related Items (4)

Spaces with polynomial hulls that contain no analytic discs ⋮ Gleason parts and point derivations for uniform algebras with dense invertible group ⋮ Topology of Gleason Parts in Maximal Ideal Spaces with no Analytic Discs ⋮ Factorization in commutative Banach algebras

Cites Work

• Dirichlet algebras
• Holomorphically convex sets in several complex variables
• Egorov's type convergence in the Dedekind completion of a C*-algebra
• Gleason parts and point derivations for uniform algebras with dense invertible group
• On the denseness of the invertible group in Banach algebras
• Banach function algebras with dense invertible group
• On Rationally Convex Hulls
• A nontrivial normal sup norm algebra
• Analytic functions and Dirichlet problem
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