On some automatic continuity theorems
Copyright policy )On some automatic continuity theorems
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.
6 pages
- Mohammed V University Morocco
Uniform topological algebra, 46H05, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], 46H05, 46H40, saturated locally convex algebra, Functional Analysis (math.FA), Mathematics - Functional Analysis, weakly regular algebra, FOS: Mathematics, General theory of topological algebras, 46H40, Automatic continuity, automatic continuity of homomorphism
Uniform topological algebra, 46H05, [MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA], 46H05, 46H40, saturated locally convex algebra, Functional Analysis (math.FA), Mathematics - Functional Analysis, weakly regular algebra, FOS: Mathematics, General theory of topological algebras, 46H40, Automatic continuity, automatic continuity of homomorphism
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