Automatic boundedness in certain bornological algebras

Mohamed Aboulekhlef; Youssef  Tidli

doi:10.5269/bspm.75791

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

Abstract

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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