Geodesic
Stability and closed graph theorems in classes of bornological spaces
Glasgow mathematical journal, Tome 23 (1982) no. 2, pp. 151-162

Voir la notice de l'article provenant de la source Cambridge University Press

In the general theory of locally convex spaces, the idea of inductive limit is pervasive, with quotient spaces and the less obvious notion of direct sum being among the instances. Bornological spaces provide another important example. As is well known (cf. [7]), a Hausdorff locally convex space E is bornological if, and only if, E is an inductive limit of normed vector spaces. Going even further in this direction, a complete Hausdorff bornological space is an inductive limit of Banach spaces. 
Mukherjee, T. K.; Summers, W. H. Stability and closed graph theorems in classes of bornological spaces. Glasgow mathematical journal, Tome 23 (1982) no. 2, pp. 151-162. doi: 10.1017/S0017089500004924
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