Automatic Boundedness in Certain Bornological Algebras

  • Mohamed Aboulekhlef Laboratory of Applied Mathematics and Information and Communication Technology Polydisciplinary Faculty of Khouribga University of Sultan Moulay Slimane
  • Youssef Tidli

Resumo

In this paper, we deal with the automatic boundedness of linear operators in some classes of bornological algebras, with a special emphasis on homomorphisms. In emphasizing one of the main results on multiplicatively p-convex and *-semi-simple algebras is the application of classical boundedness theorems to bornological algebras. Applications are given to spectral theory and operator analysis.

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Publicado
2025-08-13
Seção
Artigos