Banach-valued holomorphic functions on the maximal ideal space of \(H ^{\infty }\)
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Publication:358820
DOI10.1007/s00222-012-0426-zzbMath1284.30054arXiv1103.2347OpenAlexW1525750613MaRDI QIDQ358820
Publication date: 9 August 2013
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1103.2347
maximal ideal spaceapproximation property of Banach spacesBanach-valued holomorphic functionsRunge-type approximationsecond Cousin problem
Classical Banach spaces in the general theory (46B25) Spaces of bounded analytic functions of one complex variable (30H05)
Related Items (12)
Topology of the maximal ideal space of \(H^\infty\) revisited ⋮ DENSE STABLE RANK AND RUNGE-TYPE APPROXIMATION THEOREMS FOR MAPS ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. II ⋮ On the Sundberg approximation theorem ⋮ Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. I. ⋮ On the maximal ideal spaces of 𝐇^{∞} on coverings of bordered Riemann surfaces ⋮ \(L^\infty\) Estimates for the Banach-valued \(\bar{\partial}\)-problem in a disk ⋮ On the completion problem for algebra \(H^{\infty}\) ⋮ \(BMO\) functions as harmonic sections of flat bundles on the maximal ideal space of \(H^\infty\) ⋮ Oka principle on the maximal ideal space of $\boldsymbol {H^\infty }$ ⋮ Structure of the maximal ideal space of 𝐇^{∞} on the countable disjoint union of open disks ⋮ Corona Problem for H ∞ on Riemann Surfaces
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