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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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