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On locally convex vector spaces of continuous functions. (English) Zbl 0057.33801

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[1] N. Bourbaki: Sur certains spaces vectoriels topologiques, Ann. Inst. Fourier II (1950). · Zbl 0042.35302 · doi:10.5802/aif.16 · numdam:AIF_1950__2__5_0 · eudml:73693
[2] J. A. Dieudonne: Recent developments in the theory of locally-convex spaces, Bull. Amer. Math. Soc, 59 (1953). · Zbl 0053.25701 · doi:10.1090/S0002-9904-1953-09752-X
[3] E. Hewitt: Rings of real valued continuous functions, Trans. Amer. Math. Soc, 64 (1948). JSTOR: · Zbl 0032.28603 · doi:10.2307/1990558 · links.jstor.org
[4] T. Shirota: A class of topological spaces, Osaka Math. J., 4 (1952). · Zbl 0047.41704
[5] L. Gillman and H. Henriksen: Concerning rings of contmuous functions, Trans. Amer. Math. Soc. (to appear). · Zbl 0058.10003 · doi:10.2307/1990875
[6] G. Mackey: On infinite-dimensional linear spaces, Trans. Amer. Math. Soc, 57 (1945). JSTOR: · Zbl 0061.24301 · doi:10.2307/1990201 · links.jstor.org
[7] W. F. Donoghue and K. T. Smith: On the symmetry and bounded closure of locally convex spaces, Trans. Amer. Math. Soc, 73 (1952). JSTOR: · Zbl 0047.10601 · doi:10.2307/1990672 · links.jstor.org
[8] E. Hewitt: Linear functionals on spaces of continuous functions, Fund. Math., 37 (1950). · Zbl 0040.06401 · eudml:213211
[9] L. Nachbin: On the continuity of positive linear transformations, proceeding of the international congress of mathematicians (1950). · Zbl 0035.35402
[10] Cf. R. Sikorski: Remark on some topological spaces of high power, Fund. Math., 37 (1950). · Zbl 0041.09705 · eudml:213209
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