On Rationally Convex Hulls

DOI10.2307/1996538zbMath0239.46051OpenAlexW4236321927MaRDI QIDQ5651232

Richard F. Basener

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996538

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Holomorphic convexity (32E99)

Related Items

Rational approximation on the unit sphere in \(\mathbb{C}^2\), Tame Measures on Certain Compact Sets, A peak point theorem for uniform algebras on real-analytic varieties, Presence or absence of analytic structure in maximal ideal spaces, Uniform algebras on the sphere invariant under group actions, Subharmonicity for uniform algebras, Unnamed Item, Uniform algebras as Banach spaces, Spaces with polynomial hulls that contain no analytic discs, Gleason parts and point derivations for uniform algebras with dense invertible group, Analytic discs and uniform algebras generated by real-analytic functions, Hulls of Surfaces, Polynomial approximation on three-dimensional real-analytic submanifolds of 𝐂ⁿ, Isolated point theorems for uniform algebras on smooth manifolds, Holomorphic Approximation: The Legacy of Weierstrass, Runge, Oka–Weil, and Mergelyan, Topology of Gleason Parts in Maximal Ideal Spaces with no Analytic Discs, Peak point theorems for uniform algebras on smooth manifolds, A hull with no nontrivial Gleason parts, Isolated point theorems for uniform algebras on two- and three-manifolds, Factorization in commutative Banach algebras, Regularity points and Jensen measures for $R(X)$, Approximate identities in Banach function algebras

Cites Work

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• Polynomial approximation on an arc in \(C^3\)
• Functions on circular subsets of the space of \(n\) complex variables
• The local maximum modulus principle
• Point derivations on function algebras
• Über Potentiale, welche auf vorgegebenen Mengen verschwinden
• Subalgebras of Spaces of Continuous Functions
• A nontrivial normal sup norm algebra