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Jun 28, 2019 at 13:20 comment added J. van Dobben de Bruyn By the way, the original article is a pleasure to read! R. Creighton Buck, Bounded continuous functions on a locally compact space, Michigan Mathematical Journal, vol. 5 (1958), issue 2, pp. 95–104.
Jun 28, 2019 at 13:15 vote accept J. van Dobben de Bruyn
Jun 28, 2019 at 13:14 comment added J. van Dobben de Bruyn Ah yes, and these topologies are comparable (the map $(C_b(\mathbb{R}),\text{norm}) \to (C_b(\mathbb{R}),\text{strict})$ is continuous). Good example, thanks!
May 21, 2019 at 16:07 history answered user131781 CC BY-SA 4.0