On some properties of CV_{(0)}(X, A)

Abstract

Let X be a completely regular Hausdorff space and V a Nachbin familyon X. For a locally convex algebra A, let CV(0)(X, A) be the algebra ofall weighted vector-valued continuous functions with the topology givenby the uniform seminorms induced by V . In this paper we study someproperties of A that are inherited by CV(0)(X, A). These properties arerelated to the unit element, spectral seminorms and uniformly A-convexproperty