PageHeader : Funkcialaj Ekvacioj, 31 (1988) 349-361 Title : Precompactness and Convergence in Norm of Positive Title : Orbits in a Certain Fading Memory Space AuthorInfo : By AuthorInfo : J. R. HADDOCK* and W. E. $\mathrm{H}\mathrm{O}\mathrm{R}\mathrm{N}\mathrm{O}\mathrm{R}^{+}$ AuthorInfo : (Memphis State University, U. S. A.) section : 1. Introduction section : 2. Preliminaries section : 3. Precompactness of positive orbits in $C_{g}$ spaces section : References