Alling's conjecture on closed prime ideals in \(H^ \infty\)
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Publication:1365232
DOI10.1006/jfan.1996.3066zbMath0887.46032OpenAlexW2035424986MaRDI QIDQ1365232
Pamela Gorkin, Raymond Mortini
Publication date: 25 May 1998
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jfan.1996.3066
bounded analytic functionsfactorization theoremsCorona theoremGleason partintersection of maximal idealsCarleson's contour constructionclosed prime ideals
Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Spaces of bounded analytic functions of one complex variable (30H05)
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Cites Work
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- Division in \(H^\infty +C\)
- On finitely generated closed ideals in \(H^{\infty}(D)\)
- Gleason parts and COP
- Closed and prime ideals of weak Bezout type in \(H^ \infty\)
- Linear and complex analysis problem book 3. Part 1
- Čech cohomology and covering dimension for the \(H^ \infty\) maximal ideal space
- Inner functions and division in Douglas algebras
- Prime ideals in closed subalgebras of \(L^{\infty}\)
- Interpolations by bounded analytic functions and the corona problem
- Closed and prime ideals in the algebra of bounded analytic functions
- Trivial Gleason parts and the topological stable rank of H infinity