\(H^{\infty}+BUC\) does not have the best approximation property

DOI10.1007/BF02384384zbMath0584.46044MaRDI QIDQ1070494

C.-E. Sundberg

Publication date: 1984

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

Hardy spaceDouglas algebrabest approximation property

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Geometry and structure of normed linear spaces (46B20) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Subalgebras of commutative topological algebras (46J30)

Related Items (1)

A counterexample in \(H^{\infty}+BUC\)

Cites Work

• Unnamed Item
• A characterization of Douglas subalgebras
• Subalgebras of \(L^\infty\) containing \(H^\infty\)
• Maximal Subalgebras of C(\mathbbΓ)
• An Interpolation Problem for Bounded Analytic Functions
• The Compact Hankel Operators Form an M-Ideal in the Space of Hankel Operators
• Best Approximation in Certain Douglas Algebras
• Functions of Vanishing Mean Oscillation
• A constructive proof of the Chang-Marshall theorem
• Approximation by compact operators and the space \(H^\infty +C\)

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