Automatic Boundedness in Certain Bornological Algebras

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.