A tetrachotomy for certain algebras containing the disc algebra
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- by Alexander J. Izzo PDF
- Proc. Amer. Math. Soc. 138 (2010), 623-627 Request permission
Abstract:
Let $D$ denote the open unit disc in the complex plane, and let $A(D)$ denote the disc algebra. The algebras $A(D)[f, \overline f ] \cap C(\overline D)$, where $f$ is in $H^\infty (D)$, are characterized. This answers a question raised by Joseph Cima.References
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Additional Information
- Alexander J. Izzo
- Affiliation: Department of Mathematics and Statistics, Bowling Green State University, Bowling Green, Ohio 43403
- MR Author ID: 307587
- Email: aizzo@math.bgsu.edu
- Received by editor(s): May 4, 2009
- Published electronically: September 16, 2009
- Communicated by: Mario Bonk
- © Copyright 2009 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 623-627
- MSC (2000): Primary 46J10, 46J15, 30H05
- DOI: https://doi.org/10.1090/S0002-9939-09-10097-7
- MathSciNet review: 2557179
Dedicated: Dedicated to the memory of Juha Heinonen