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  "body": "\n## Summary\n\nThe Mackey topology $\\tau(X, Y)$ of a [[dual pair|R68HNB5SVR]] $(X, Y)$ is a topology on $X$.\nIt is the topology of uniform convergence on the convex, balanced, [[weakly|P6KHVSTPZV]] compact subsets of $Y$.\nBy the [[Mackey–Arens theorem|RKKWS7CDNF]], it is the finest locally convex topology on $X$ whose continuous dual is $Y$.\nSo, among all locally convex topologies with a given dual, the [[weak topology|P6KHVSTPZV]] is the coarsest and the Mackey topology is the finest.\n\n## Explanations\n\n### L1 human\n\nMany topologies on a space can have the same continuous linear forms.\nThey form a range, from the weakest one to the strongest one.\nThe Mackey topology is the strongest one in this range.\nFor a normed space the norm topology is already the strongest, so there the Mackey topology is the norm topology.\n",
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