A note on generalized characters
| dc.creator | Bhatt, S J | |
| dc.creator | Dedania, H V | |
| dc.date | 2005-12-14 | |
| dc.date.accessioned | 2026-07-07T06:55:15Z | |
| dc.date.available | 2026-07-07T06:55:15Z | |
| dc.description | For a compactly generated LCA group $G$, it is shown that the set $H(G)$ of all generalized characters on $G$ equipped with the compact-open topology is a LCA group and $H(G) = \dg$ (the dual group of $G$) if and only if $G$ is compact. Both results fail for arbitrary LCA groups. Further, if $G$ is second countable, then the Gel'fand space of the commutative convolution algebra $\ccg$ equipped with the inductive limit topology is topologically homeomorphic to $\hg$. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0512317 | |
| dc.identifier | http://arxiv.org/abs/math/0512317 | |
| dc.identifier | Proc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 437-444 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/106220 | |
| dc.subject | Functional Analysis | |
| dc.subject | 22D05, 46J05 | |
| dc.title | A note on generalized characters | |
| dc.type | text |