


Paper's Title:
The Automatic Continuity of NHomomorphisms in Certain *Banach Algebras
Author(s):
M. Aboulekhlef, Y. Tidli
Laboratory of Applied Mathematics and
Information and Communication Technology
Polydisciplinary Faculty of Khouribga
University of Sultan Moulay Slimane
Morocco.
Email: aboulekhlef@gmail.com
y.tidli@gmail.com
Abstract:
In this study, we prove the automatic continuity of surjective nhomomorphism between complete pnormed algebras. We show also that if Α and Β are complete *pnormed algebras, Β is *simple and ψ: Α → Β is a surjective nhomomorphism under certain conditions, then ψ is continuous.
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