PROPERTY AND HOLOMORPHIC FUNCTIONS WITH VALUES IN A PSEUDOCONVEX SPACE HAVING A STEIN MORPHISM INTO A COMPLEX LIE GROUP
NGUYEN MINH HA, THAI THUAN QUANG
Abstract
It is shown that a Fréchet-Schwartz space with an absolute basis has the property if and only if every holomorphic function on with values in a pseudoconvex space having a Stein morphism into a complex Lie group, where is a Stein space, is of uniform type. In the scalar case, where is a nuclear Fréchet space, the result was established by Meise and Vogt [5].