Dual Topology - Characterization of Dual Topologies

Characterization of Dual Topologies

The Mackey–Arens theorem, named after George Mackey and Richard Arens, characterizes all possible dual topologies on a locally convex spaces.

The theorem shows that the coarsest dual topology is the weak topology, the topology of uniform convergence on all finite subsets of, and the finest topology is the Mackey topology, the topology of uniform convergence on all weakly compact subsets of .

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