This article is cited in 3 papers

Completeness of the System of Values of a Holomorphic Vector Function in Fréchet Spaces

V. P. Gromov

Orel State University

Abstract: 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.

UDC: 517.55

Received: 30.11.1999
Revised: 10.10.2002

DOI: 10.4213/mzm230

 English version: Mathematical Notes, 2003, 73:6, 783–795

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