%0 Journal Article
%A Ansemil, José María M.
%A Ponte, Socorro
%T Metrizability of spaces of holomorphic functions with the Nachbin topology
%D 2007
%@ 0022-247X
%U https://hdl.handle.net/20.500.14352/50151
%X In this paper we prove, among other things, that the space of all holomorphic functions on an open subset U of a complex metrizable space E, endowed with the Nachbin ported topology, is metrizable only if E has finite dimension. This answers a question by Mujica in [J. Mujica, Germenes holomorfos y funciones holomorfas en espacios de Frechet, Publicaciones del Departamento de Teoria de Funciones, Universidad de Santiago, Spain, 1978].
%~