The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

The Automatic Continuity of N-Homomorphisms in Certain *-Banach Algebras


M. Aboulekhlef, Y. Tidli

Laboratory of Applied Mathematics and Information and Communication Technology
Polydisciplinary Faculty of Khouribga
University of Sultan Moulay Slimane


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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