Nguyen Minh Ha and Thai Thuan Quang

Abstract

     It is shown that a Fréchet-Schwartz space E with an absolute basis has the property \overline{\overline{Ω}} if and only if every holomorphic function on D x E with values in a pseudoconvex space having a Stein morphism into a complex Lie group, where D is a Stein space, is of uniform type. In the scalar case, where E is a nuclear Fréchet space, the result was established by Meise and V