Fréchet-valued holomorphic functions on compact sets and the properties \((\overline{DN}, LB_\infty,\Omega)\)
The authors show that every weakly holomorphic function on a compact set of uniqueness in a Fréchet space \(E \in (\Omega)\) with values in a Fréchet space \(F \in (\overline {DN})\) is holomorphic. A characterization of Fréchet space with \((LB_\infty)\) is also established.
scientific article; zbMATH DE number 1321721