| On the
Property (LB¥)
of Spaces of Germs of
Holomorphic Functions and the Properties (\widetilde W,
\overline W) of the Hartogs Domain in Infinite Dimension
Le Mau Hai and Pham Hien Bang Abstract The aim of this paper is to establish the property LB¥ on [H(Ke)]' under the assumption that E is a Frechet space with an absolute basis and Ke is a balanced convex compact subset of E. At the same time, the properties (\widetilde W, \overline W) for the Hartogs domains associated to an open polydisc in a nuclear Frechet space with a basis will be also proved. |