Example 3

Tag 07MO, permanent. Cite it as [Bourbaki, Tag 07MO].

Topological Vector Spaces, III, p. 14, § 3. Spaces of continuous linear mappings

If $\mathfrak{S}$ is the set of all bounded subsets of E, we say that the $\mathfrak{S}$ -topology is the topology of bounded convergence and the space $\mathscr{L}_{\mathfrak{S}}(E; F)$ is denoted by $\mathscr{L}_b(E; F)$ .

Bourbaki puts the proof directly after the statement, so what is above is the statement and its proof together.

Cited by

Nothing.

Cites

Nothing.