Open Access
December 2003 On some automatic continuity theorems
M. El. Azhari
Bull. Belg. Math. Soc. Simon Stevin 10(4): 627-634 (December 2003). DOI: 10.36045/bbms/1070645805

Abstract

We give characterizations of unital uniform topological algebras and saturated locally multiplicatively convex algebras by means of multiplicative linear functionals. Some automatic continuity theorems in advertibly complete uniform topological algebras are extended to a larger class of algebras. Consequences and applications are given.

Citation

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M. El. Azhari. "On some automatic continuity theorems." Bull. Belg. Math. Soc. Simon Stevin 10 (4) 627 - 634, December 2003. https://doi.org/10.36045/bbms/1070645805

Information

Published: December 2003
First available in Project Euclid: 5 December 2003

zbMATH: 1070.46033
MathSciNet: MR2040534
Digital Object Identifier: 10.36045/bbms/1070645805

Subjects:
Primary: 46H40
Secondary: 46H05

Keywords: automatic continuity of homomorphism , saturated locally convex algebra , Uniform topological algebra , weakly regular algebra

Rights: Copyright © 2003 The Belgian Mathematical Society

Vol.10 • No. 4 • December 2003
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