Algèbres $A$-convexes et problème de Michael
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- by M. Akkar, L. Oubbi and M. Oudadess PDF
- Proc. Amer. Math. Soc. 110 (1990), 97-101 Request permission
Abstract:
We give an example of a locally $A$-convex algebra which is neither $m$-convex nor uniformly $A$-convex. This example is used to answer some questions on $A$-convex algebras (see symbol 4). We especially show that Michael’s problem (in $m$-convex algebras) is equivalent to the same problem in $A$-convex algebras. Finally some questions on bounded sets in $A$-convex algebras are studied.References
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Additional Information
- © Copyright 1990 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 110 (1990), 97-101
- MSC: Primary 46H05
- DOI: https://doi.org/10.1090/S0002-9939-1990-1014641-8
- MathSciNet review: 1014641