| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4619924 | Journal of Mathematical Analysis and Applications | 2009 | 5 Pages |
Abstract
In this paper we prove that if U is an open subset of a metrizable locally convex space E of infinite dimension, the space H(U) of all holomorphic functions on U, endowed with the Nachbin–Coeuré topology τδ, is not metrizable. Our result can be applied to get that, for all usual topologies, H(U) is metrizable if and only if E has finite dimension.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
