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Paper Title:
The Automatic Continuity of N-Homomorphisms 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.
E-mail: aboulekhlef@gmail.com
y.tidli@gmail.com
Abstract:
In this study, we prove the automatic continuity of surjective n-homomorphism between complete p-normed algebras. We show also that if Α and Β are complete *-p-normed algebras, Β is *simple and ψ: Α → Β is a surjective n-homomorphism under certain conditions, then ψ is continuous.
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