Weak-star closed algebras containing R(K)

DOI10.1007/BF01197975zbMath0677.46041OpenAlexW2086415531MaRDI QIDQ1123362

Theodore W. Gamelin

Publication date: 1989

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01197975

zbMATH Keywords

harmonic measurefunction algebrachampagne bubble setclassifying the weak-star closed subalgebras of \(L^{\infty }(\nu )\) containing \(R^{\infty }(\nu )\)roadrunner setweak-star maximality theorem

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• Weak-star continuous homomorphisms and a decomposition of orthogonal measures
• The minimal normal extension problem for subnormal operators
• A Stone-Weierstrass theorem for weak-star approximation by rational functions
• Localization of the corona problem
• Analyticity, and the maximum modulus principle
• Analyticity in Certain Banach Algebras
• Equivalence of Certain Representing Measures
• The Shilov Boundary of H ∞ (U)
• Bounded approximation by rational functions

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