Abstract

In this paper we consider the Sobolev-Slobodeckij spaces Wm,p(n,E) where E is a strict (LF)-space, m(0,)\ and p[1,). We prove that Wm,p(n,E) has the approximation property provided E has it, furthermore if E is a Banach space with the strict approximation property then Wm,p(n,E) has this property.