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Barrelled spaces with a B-complete completion. (English) Zbl 0471.46002


MSC:

46A08 Barrelled spaces, bornological spaces
46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
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References:

[1] DE WILDE M.: Closed Graph Theorem and Webbed Spaces. Research Notes in Mathematics, 19, London, Pitman, 1978 · Zbl 0373.46007
[2] GARNIR H.G., DE WILDE M., SCHMETS J.: Analyse fonctionnelle, I et III. Basel und Stuttgart, Birkhauser, 1968 and 1973 · Zbl 0179.45201
[3] KOMURA Y.: On linear topological space. Kumamoto J. Science, Series A, 5, 148–157, (1962) · Zbl 0106.30702
[4] KÖTHE G.: Topological Vector Spaces, I. Berlin, Heidelberg, New York, Springer, 1969 · Zbl 0179.17001
[5] SAXON S.A., WILANSKY A.: The equivalence of some Banach space problems. Colloquium Math., 37, 217–226 (1977) · Zbl 0373.46027
[6] SCHAEFER H.H.: Topological Vector Spaces. 4. ed. Springer, 1980 · Zbl 0435.46003
[7] VALDIVIA M.: Absolutely convex sets in barrelled spaces. Ann. Inst. Fourier, 21, 2, 3–13 (1971) · Zbl 0205.40904
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