# IJPAM: Volume 22, No. 1 (2005)

AN INTERPOLATION PROBLEM FOR PSEUDOCONVEX
DOMAINS OF CERTAIN INFINITE-DIMENSIONAL
COMPLEX VECTOR SPACES

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it

Abstract.Let be a pseudoconvex domain of an infinite-dimensional complex vector space equipped with the finite topology. Here we show the surjectivity of the restriction map for certain zero-dimensional'' closed subschemes of (e.g. we may take as any countable discrete subset of ). Due to the chosen topology of this is essentially an interpolation problem for Gâteaux analytic functions.