Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4658850 | Topology and its Applications | 2013 | 13 Pages |
Abstract
Let G denote a locally compact Hausdorff group and M(G) be the space of all bounded complex-valued regular Borel measures on G. In this paper, we define two strict topologies on M(G) and study various properties of these topologies such as metrizability, barrelledness and completeness. We also determine the dual space of M(G) and consider various continuity properties for the convolution product on M(G) under these topologies.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Saeid Maghsoudi,