Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 213
Automatic continuity of n-homomorphisms between complete p-normed algebra
Mohamed Aboulekhlef, Youssef Tidli
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
January 26, 2022
March 03, 2187
April 15, 2187

Abstract: An n-homomorphism between algebras is a linear map θ : A → B such that θ(a1a2...an) = θ(a1 )θ(a2)...θ(an) for all elements a1, a2..., an ∈ A We obtain some results on automatic continuity of n-homomorphisms between certain topological algebras, as well as Banach algebras.The main results are the extensions of Johnson’s theorem as well as a theorem due to C.E. Rickart for n-homomorphisms References [1] Maria Fragoulopoulou .(North-Holland Mathematics Studies 200) - Topological Algebras With Involution-North Holland (2005). [2] H. G. Dales, Banach Algebras and Automatic Continuity, ...