Gleason parts and point derivations for uniform algebras with dense invertible group

DOI10.1090/tran/7153zbMath1401.46035arXiv1606.05920OpenAlexW2963128647MaRDI QIDQ4608779

Alexander J. Izzo

Publication date: 28 March 2018

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

Full work available at URL: https://arxiv.org/abs/1606.05920

zbMATH Keywords

uniform algebrasGleason partspoint derivationspolynomial convex hullSwiss cheesedense invertible group

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20) Algebras of holomorphic functions of several complex variables (32A38) Algebras of analytic functions of one complex variable (30H50) Banach algebra techniques applied to functions of several complex variables (32A65)

Related Items

Spaces with polynomial hulls that contain no analytic discs, Topology of Gleason Parts in Maximal Ideal Spaces with no Analytic Discs, Polynomial hulls of arcs and curves, A hull with no nontrivial Gleason parts, Gleason parts and point derivations for uniform algebras with dense invertible group II, No topological condition implies equality of polynomial and rational hulls

Cites Work

• A minimal boundary for function algebras
• Dirichlet algebras
• Holomorphically convex sets in several complex variables
• Polynomial convexity
• Thin spectra and stable range conditions
• Bounded point derivations on certain Banach algebras
• A Regular Uniform Algebra with a continuous Point Derivation of infinite Order
• Several Complex Variables and Banach Algebras
• A hull with no nontrivial Gleason parts
• Banach function algebras with dense invertible group
• On Uniform Approximation by Rational Functions
• Lebesgue Measure of Parts for R(X)
• On Rationally Convex Hulls
• An Isolated Bounded Point Derivation
• Analytic functions and Dirichlet problem
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