Maximality of the algebra of functions continuous on the extended complex plane and analytic in the complement of a completely discontinuous compactum

DOI10.1007/BF01099674zbMath0295.46078MaRDI QIDQ1213130

V. N. Senickin

Publication date: 1971

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/188164

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Rings and algebras of continuous, differentiable or analytic functions (46E25) Subalgebras of commutative topological algebras (46J30)

Related Items

Algebra of analytic functions continuous on a sphere with a perfect set of singularities, and polynomial approximation on dense compacta in \(\mathbb{C}^n\)

Cites Work

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• Polynomial approximation on an arc in \(C^3\)
• Banach algebras and analytic functions
• The maximal ideals of certain function algebras
• Subalgebras of Spaces of Continuous Functions