On pure uniform holomorphy in spaces of holomorphic germs (Q1819320)

If E is a ''complex (DFC)-space'', the author obtains nine conditions equivalent to E leading to pure uniform holomorphy. If K is a nonempty compact subset of a complex metrizable locally convex space E and H(K) is the (DFC)-space of germs around K of holomorphic \({\mathbb{C}}\)-valued functions with an inductive-limit topology, then H(K) leads to pure uniform holomorphy if E is separable.