Article ID Journal Published Year Pages File Type
4658850 Topology and its Applications 2013 13 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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