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arXiv · 1301.2671

On a conjecture concerning some automatic continuity theorems

M. El Azhari
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Abstract

Let A and B be commutative locally convex algebras with unit. A is assumed to be a uniform topological algebra. Let h be an injective homomorphism from A to B. Under additional assumptions, we characterize the continuity of the homomorphism h^(-1) / Im(h) by the fact that the radical (or strong radical) of the closure of Im(h) has only zero as a common point with Im(h). This gives an answer to a conjecture concerning some automatic continuity theorems on uniform topological algebras.

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M. El Azhari. 2013-01-12. On a conjecture concerning some automatic continuity theorems. https://arxiv.org/abs/1301.2671

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