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Mackey convergence and the closed graph theorem. (English) Zbl 0297.46006


MSC:

46A30 Open mapping and closed graph theorems; completeness (including \(B\)-, \(B_r\)-completeness)
46A03 General theory of locally convex spaces
46A08 Barrelled spaces, bornological spaces
Full Text: DOI

References:

[1] V.Eberhardt Durch Graphens?tze definierte lokalkonvexe R?ume. Inaugural-Dissertation zur Erlangung der Doktorw?rde. Universit?t M?nchen 1972.
[2] J.Horvath, Topological vector spaces and distributions, Vol. I. Reading 1966. · Zbl 0143.15101
[3] Y. Komura, On linear topological spaces. Kumamoto J. Sci. Ser. A5, 148-157 (1962). · Zbl 0106.30702
[4] G.K?the, Topological Vector Spaces I. Berlin-Heidelberg-New York 1969.
[5] A. I. Markushevich, Sur les bases (au sens large) dans les espaces lin?aires. Dokl. Akad. Nauk SSSR (N.S.)41, 227-229 (1943). · Zbl 0061.24701
[6] J. T.Marti, Introduction to the Theory of Bases. Berlin-Heidelberg-New York 1969. · Zbl 0191.41301
[7] M.Valdivia, On quasi-completeness and sequential completeness in locally convex spaces. J. reine angew. Math. (To appear). · Zbl 0306.46003
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