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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

On the stable rank of $ H\sp \infty$


Author: Peter J. Holden
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1992-1086329-0
Article copyright: © Copyright 1992 American Mathematical Society

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