RT Journal Article
T1 Metrizability of spaces of holomorphic functions with the Nachbin topology
A1 Martínez Ansemil, José María
A1 Ponte Miramontes, María Del Socorro
AB 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].
PB Elsevier
SN 0022-247X
YR 2007
FD 2007-10-15
LK https://hdl.handle.net/20.500.14352/50151
UL https://hdl.handle.net/20.500.14352/50151
LA eng
NO Martínez Ansemil, J. M. & Ponte Miramontes, M. S. «Metrizability of Spaces of Holomorphic Functions with the Nachbin Topology». Journal of Mathematical Analysis and Applications, vol. 334, n.o 2, octubre de 2007, pp. 1146-51. DOI.org (Crossref), https://doi.org/10.1016/j.jmaa.2007.01.012.
DS Docta Complutense
RD 18 abr 2025