On the stable rank of $H^ \infty$
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- by Peter J. Holden
- Proc. Amer. Math. Soc. 114 (1992), 79-88
- DOI: https://doi.org/10.1090/S0002-9939-1992-1086329-0
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Abstract:
We prove that if ${f_1},{f_2}$ are corona data and ${f_1}$ is the product of finitely many interpolating Blaschke products, then there exist corona solutions ${g_1},{g_2}$ with $g_1^{ - 1} \in {H^\infty }\left ( D \right )$. This provides a partial result in the direction of proving the stable rank of the algebra of bounded analytic functions on the open unit disc is one.References
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Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 114 (1992), 79-88
- MSC: Primary 46J15; Secondary 30D55
- DOI: https://doi.org/10.1090/S0002-9939-1992-1086329-0
- MathSciNet review: 1086329