Resumen de Structure of spaces of germs of holomorphic functions

N. Van Khue, P. Thien Danh

• Let $E$ be a Frechet (resp. Frechet-Hilbert) space. It is shown that $E\in (\Omega)$ (resp. $E\in (DN)$) if and only if $[\Cal H(O_E)]'\in(\Omega)$ (resp. $[\Cal H(O_E)]'\in (DN)$). Moreover it is also shown that $E\in (DN)$ if and only if $\Cal H_b(E')\in (DN)$. In the nuclear case these results were proved by Meise and Vogt \cite{2}.