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Some examples on quasi-barrelled spaces. (English) Zbl 0226.46005


MSC:

46A08 Barrelled spaces, bornological spaces
46A17 Bornologies and related structures; Mackey convergence, etc.
46A04 Locally convex Fréchet spaces and (DF)-spaces

References:

[1] [1] , Éléments de Mathématiques, Livre V : Espaces vectoriels topologiques, (ch. III, ch. IV, ch. V), Paris (1964). · Zbl 0205.34302
[2] J. DIEUDONNÉ, Sur les propriétés de permanence de certains espaces vectoriels topologiques, Ann. Soc. Polon. Math., 25, 50-55 (1952).0049.0820215,38b · Zbl 0049.08202
[3] A. GROTHENDIECK, Sur les espaces (F) et (DF), Summa Brasil. Math., 3, 57-123 (1954).0058.0980317,765b · Zbl 0058.09803
[4] [4] , Produits tensoriels topologiques et espaces nucléaires Mem. Math. Soc., 16 (1955). · Zbl 0064.35501
[5] G. KOTHE, Topological Vector Spaces I, Berlin-Heidelberg-New York, Springer (1969).0179.1700140 #1750 · Zbl 0179.17001
[6] M. VALDIVIA, A hereditary property in locally convex spaces, Ann. Inst. Fourier, 21, 1-2 (1971).0205.4090348 #11967AIF_1971__21_2_1_0 · Zbl 0205.40903
[7] M. VALDIVIA, On final topologies, J. Reine angew. Math., 251, 193-199 (1971).0223.4600345 #4108 · Zbl 0223.46003
[8] M. VALDIVIA, On D F spaces, Math. Ann., 191, 38-43 (1971).0204.1280243 #6694 · Zbl 0204.12802
[9] M. VALDIVIA, A class of bornological barrelled spaces which are not ultrabornological, Math. Ann. 194, 43-51 (1971).0207.4270147 #2307 · Zbl 0207.42701
[10] M. VALDIVIA, Absolutely convex sets in barrelled spaces, Ann. Inst. Fourier, 21, 3-13 (1971).0205.4090448 #11968AIF_1971__21_2_3_0 · Zbl 0205.40904
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