Continuation of analytic structure in the maximal ideal space of a uniform algebra

DOI10.1017/S0305004100060151zbMath0507.46046MaRDI QIDQ4744805

John R. Shackell

Publication date: 1982

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

zbMATH Keywords

maximal ideal spaceuniform algebraanalytic structureShilov boundaryone-dimensional analytic

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Ideals, maximal ideals, boundaries (46J20) Polynomial convexity, rational convexity, meromorphic convexity in several complex variables (32E20)

Cites Work

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• An example concerning polynomial convexity
• An example concerning rational convexity
• Topological invariants of the maximal ideal space of a Banach algebra
• Capacity and uniform algebras
• Analytic phenomena in general function algebras
• Analytic functions of an infinite number of complex variables
• Polynomially and rationally convex sets
• Semigroups Associated with Polynomial-Hull Structure
• A Generalized Shilov Boundary and Analytic Structure
• A Note on the Holomorphic Functional Calculus in a Banach Algebra
• A Condition Equivalent to the Continuity of Characters on a Fréchet Algebra

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