Gromov, V. P. On the completeness of a system of values of a holomorphic vector function in a Fréchet space. (English. Russian original) Zbl 1146.30300 Math. Notes 73, No. 6, 783-795 (2003); translation from Mat. Zametki 73, No. 6, 827-840 (2003). Summary: We establish necessary and sufficient conditions for the system of values of a holomorphic vector function to be complete in a Fréchet space. The results obtained are illustrated by several examples. MSC: 30B60 Completeness problems, closure of a system of functions of one complex variable 46E10 Topological linear spaces of continuous, differentiable or analytic functions Keywords:completeness condition; holomorphic vector function; Fréchet space; uniqueness set; cyclic vector PDFBibTeX XMLCite \textit{V. P. Gromov}, Math. Notes 73, No. 6, 783--795 (2003; Zbl 1146.30300); translation from Mat. Zametki 73, No. 6, 827--840 (2003) Full Text: DOI