Approximations of differentiable functions in locally convex spaces (Q5916450)

The purpose of this paper is to study density properties of pseudoalgebras in the space of all n times \(\beta\)-continuously differentiable mappings between two real locally convex spaces by using the approximation bornologies \(\beta\) and the \(\beta\)-differentiation theory. As an application, a considerable generalization of results of \textit{J. G. Llavona} [Studies in Analysis, Adv. Math., Suppl. Stud., Vol. 4, 197-221 (1979; Zbl 0499.41027)] is obtained.