Quasi-Normable Preduals of Spaces of Holomorphic Functions

Let H U. denote the space of all holomorphic functions on an open subset U of a separable Fr´echet space E. Let t denote the compact-ported topology on H U. v introduced by Nachbin. Let G U. denote the predual of H U. constructed by Mazet. In our main result we show that E is quasi-normable if and only if G U. is quasi-normable if and only if H U., t . satisfies the strict Mackey convergence v condition