On existence of finite universal Korovkin sets in the centre of group algebras |
| |
Authors: | M R Agrawal U B Tewari |
| |
Institution: | (1) Department of Mathematics, Indian Institute of Technology, Post Office I.I.T., 208016 Kanpur, India |
| |
Abstract: | In this paper, we characterize compact groupsG as well as connected central topological groupsG for which the centreZ(L
1(G)) admits a finite universal Korovkin set. Also we prove that ifG is a non-connected central topological group which has a compact open normal subgroupK such thatG=KZ, thenZ(L
1(G)) admits a finite universal Korovkin set if is a finite-dimensional separable metric space or equivalentlyG is separable metrizable andG/K has finite torsion-free rank. |
| |
Keywords: | 41A36 43A20 |
本文献已被 SpringerLink 等数据库收录! |
|