## Espaces $$C(X)$$ tonnelé, infra-tonnelé et $$\sigma$$-tonnelé.(French)Zbl 0245.46026

### MSC:

 46E10 Topological linear spaces of continuous, differentiable or analytic functions 46A08 Barrelled spaces, bornological spaces
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### References:

 [1] BUCHWALTER (H.) . - Parties bornées d’un espace topologique complètement régulier , Séminaire Choquet, 9 ( 1969 - 1970 ), 14-01, 14-15. Numdam | Zbl 0213.39604 · Zbl 0213.39604 [2] DE WILDE (M.) , GARNIR (H.G.) , SCHMETS (J.) . - Analyse Fonctionnelle , I, Birkhaüser, Basel, 1968 . Zbl 0179.45201 · Zbl 0179.45201 [3] DE WILDE (M.) , HOUET (C.) . - On increasing sequences of absolutely convex sets in locally convex spaces , Math. Ann., 192, ( 1971 ), 257-261. MR 44 #5746 | Zbl 0203.42802 · Zbl 0203.42802 [4] NACHBIN (L.) . - Topological vector spaces of continuous functions , Proc. of the Nat. Acad. of Sc., 40, ( 1954 ), 471-474. MR 16,156h | Zbl 0055.09803 · Zbl 0055.09803 [5] SHIROTA (T.) . - On locally convex vector spaces of continuous functions , Proc. Japan Acad. 30, ( 1954 ), 294-298. Article | MR 16,275d | Zbl 0057.33801 · Zbl 0057.33801 [6] WARNER (S.) . - The topology of compact convergence on continuous functions spaces , Duke Math. J., 25, 1958 , 265-282. Article | MR 21 #1521 | Zbl 0081.32802 · Zbl 0081.32802
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