Finitely generated closed ideals in \(H^{\infty}\)

DOI10.1007/BF01194895zbMath0557.46032MaRDI QIDQ762425

Raymond Mortini

Publication date: 1985

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

zbMATH Keywords

disk algebraprincipal idealBanach algebra of bounded analytic functions in the unit diskcharacterization of finitely generated closed idealsfree maximal idealsweak*-closed invariant subspaces

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Invariant subspaces of linear operators (47A15) Spaces of bounded analytic functions of one complex variable (30H05) Ideals, maximal ideals, boundaries (46J20)

Related Items (4)

Gleason parts and closed ideals in Douglas algebras ⋮ From \(\mathcal{H}^\infty\) to \(\mathcal{N}\). Pointwise properties and algebraic structure in the Nevanlinna class ⋮ Finitely generated ideals in the Nevanlinna class ⋮ Countably generated prime ideals in \(H^{\infty}\)

Cites Work

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• Complex analysis. A functional analysis approach
• Finitely generated ideals in the Banach algebra \(H^\infty\)
• Divisibility properties of integral functions

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