Stable rank of $H^ \infty$ in multiply connected domains
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- by V. Tolokonnikov PDF
- Proc. Amer. Math. Soc. 123 (1995), 3151-3156 Request permission
Abstract:
The stable rank of the algebra ${H^\infty }(G)$ of bounded analytic functions in every finitely connected open Riemann surface is equal to one. The same is true for some infinitely connected plain domains (Behrens domains). The proof is based on the Treil theorem, which considered the case of ${H^\infty }$ in the unit disk.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 3151-3156
- MSC: Primary 46J15; Secondary 19B10, 30H05
- DOI: https://doi.org/10.1090/S0002-9939-1995-1273527-9
- MathSciNet review: 1273527