The algebra of almost periodic functions has infinite topological stable rank
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- by Fernando Daniel Suárez PDF
- Proc. Amer. Math. Soc. 124 (1996), 873-876 Request permission
Abstract:
We show that if $A$ is the uniform algebra of almost periodic functions, then the set $U_n(A)=\{(a_1,\dotsc ,a_n)\in A^n\colon \sum _{1\leq j\leq n}Aa_j=A\}$ cannot be dense in $A^n$ for any positive integer $n$.References
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Additional Information
- Fernando Daniel Suárez
- Affiliation: Department of Mathematics, University of California, Berkeley, California 94720
- Address at time of publication: Instituto Argentino de Matemática, Vio monte 1636-1$^{\text o}$ Cpo.-1$^{\text o}$ Piso, 1055 Buenos Aires, Argentina
- Received by editor(s): July 12, 1994
- Received by editor(s) in revised form: September 22, 1994
- Additional Notes: The author is a Fellow of the John Simon Guggenheim Memorial Foundation
- Communicated by: Dale Alspach
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 873-876
- MSC (1991): Primary 46J10
- DOI: https://doi.org/10.1090/S0002-9939-96-03200-5
- MathSciNet review: 1307566