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A property of locally convex Baire spaces. (English) Zbl 0247.46002


MSC:

46A03 General theory of locally convex spaces
46A08 Barrelled spaces, bornological spaces

References:

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[8] Kaplan, S.: Cartesian products of reals. Amer. J. Math.74, 936-954 (1952) · Zbl 0049.35402 · doi:10.2307/2372236
[9] Levin, M., Saxon, S.: A note on the inheritance of properties of locally convex spaces by subspaces of countable codimension. Proc. Amer. Math. Soc.29, 97-102 (1971) · Zbl 0212.14104 · doi:10.1090/S0002-9939-1971-0280973-2
[10] Oxtoby, J.: Cartesian products of Baire spaces. Fund. Math.49, 157-166 (1961) · Zbl 0113.16402
[11] Robertson, A. P., Robertson, W.: On the closed graph theorem. Proc. Glasg. Math. Assoc.3, 9-12 (1956) · Zbl 0073.08702 · doi:10.1017/S2040618500033372
[12] Saxon, S.: Nuclear and product spaces, Baire-like spaces, and the strongest locally convex topology. Math. Ann.197, 87-106 (1972) · Zbl 0243.46011 · doi:10.1007/BF01419586
[13] Saxon, S.: (LF)-spaces, quasi-Baire spaces, and the strongest locally convex topology (to appear) · Zbl 0575.46002
[14] Saxon, S.: Metrizable generalized (LF)-spaces, (DF)-spaces, and the strongest locally convex topology (to appear) · Zbl 0575.46002
[15] Saxon, S., Levin, M.: Every countable-codimensional subspace of a barrelled space is barrelled. Proc. A.M.S.29, 91-96 (1971) · Zbl 0212.14105 · doi:10.1090/S0002-9939-1971-0280972-0
[16] Todd, A.: Linear Baire spaces and analogs of convex Baire spaces. University of Florida dissertation (1972)
[17] Valdivia, M.: Absolutely convex sets in barrelled spaces. Ann. Inst. Fourier, Grenoble 21, (2) 3-13 (1971) · Zbl 0205.40904
[18] Valdivia, M.: Sobre el teorema de la gráfica cerrada, Seminario Matematico de Barcelona, Collectanea Mathematica, Vol. XXII, Fasc. 1 (1971)
[19] Webb, J.: Subspaces of countably barrelled spaces (to appear) · Zbl 0288.46002
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