Hypersurfaces in (DFC)-Spaces

Le Mau Hai

Abstract 

     It is shown that every hypersurface H in a (DFM)-space E is of uniform type. This means that there exist a continuous semi-norm ρ on E and a hypersurface Ĥ in Eρ , the Banach space associated to such that H=ωρ-1(Ĥ), where ωρ: E  ----> Eρ is the canonical map.