Théorie des bornologies et applications. (Theory of bornologies and applications). (French) Zbl 0225.46005

Lecture Notes in Mathematics. 213. Berlin-Heidelberg-New York: Springer-Verlag. IV, 168 p. DM 18.00; $ 5.30 (1971).


46A17 Bornologies and related structures; Mackey convergence, etc.
46-02 Research exposition (monographs, survey articles) pertaining to functional analysis
46A03 General theory of locally convex spaces
46A04 Locally convex Fréchet spaces and (DF)-spaces
46A08 Barrelled spaces, bornological spaces
46A20 Duality theory for topological vector spaces
46A22 Theorems of Hahn-Banach type; extension and lifting of functionals and operators
46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.)
46F05 Topological linear spaces of test functions, distributions and ultradistributions
46E10 Topological linear spaces of continuous, differentiable or analytic functions