Projective free algebras of bounded holomorphic functions on infinitely connected domains
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Publication:5096462
DOI10.1090/spmj/1718OpenAlexW4283591219MaRDI QIDQ5096462
Publication date: 17 August 2022
Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.01532
Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Algebras of analytic functions of one complex variable (30H50)
Related Items (4)
On stable rank of \(H^\infty\) on coverings of finite bordered Riemann surfaces ⋮ On homotopy invariants of tensor products of Banach algebras ⋮ On the maximal ideal spaces of 𝐇^{∞} on coverings of bordered Riemann surfaces ⋮ Structure of the maximal ideal space of 𝐇^{∞} on the countable disjoint union of open disks
Cites Work
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- Sufficient conditions for the projective freeness of Banach algebras
- Čech cohomology and covering dimension for the \(H^ \infty\) maximal ideal space
- Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in \(H^{\infty}\).
- Projections in the space \(H^{\infty}\) and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces
- On homotopy invariants of tensor products of Banach algebras
- The Corona problem. Connections between operator theory, function theory, and geometry. Selected papers based on the workshop, Toronto, Canada, June 2012
- On analytic fiber bundles. I: Holomorphic fiber bundles with infinite dimensional fibers
- Interpolations by bounded analytic functions and the corona problem
- Topology of the maximal ideal space of \(H^\infty\) revisited
- Extension of matrices with entries in $H^{\infty }$ on coverings of Riemann surfaces of finite type
- Extension Problem to an Invertible Matrix
- Stable Rank of H ∞ in Multiply Connected Domains
- Structure of the maximal ideal space of 𝐇^{∞} on the countable disjoint union of open disks
- Holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds
- The Maximal Ideal Space of Algebras of Bounded Analytic Functions on Infinitely Connected Domains
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