# 36 Topologies Compatible with a Duality. The Theorem of Mackey. Reflexivity

- Publisher
- Elsevier B.V.
- Identifiers
- DOI: 10.1016/s0079-8169(08)60284-6
- Disciplines

## Abstract

Publisher Summary This chapter describes several topologies compatible with a duality, the theorem of Mackey, and reflexivity. The chapter mentions a locally convex Hausdorrf space E. It is convenient to distinguish the topology originally given on E from other topologies that are applicable on E; for this reason, the chapter refers to it as the initial topology on E. The dual of E is denoted E', as usual. The chapter mentions that the topology of a locally convex Hausdorff space E is identical to the topology of uniform convergence on every equicontinuous subset of E'.

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