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Weak compactness in locally convex g-spaces and related questions. (English) Zbl 0216.40601

MSC:

46A03 General theory of locally convex spaces
46A35 Summability and bases in topological vector spaces
46A50 Compactness in topological linear spaces; angelic spaces, etc.
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References:

[1] Arens, R. F., Eells, J.: On embedding uniform and topological spaces. Pacific J. Math.6, 397–403 (1956). · Zbl 0073.39601
[2] Bourbaki, N.: Topologie générale, Chap. I, II, 2nd ed., Paris: Hermann et Cie 1951. · Zbl 0042.09201
[3] —- Topologie générale, Chap. X, Paris: Hermann et Cie 1949.
[4] Bushaw, D.: On boundedness in uniform spaces. Fund. Math.56, 295–300 (1965). · Zbl 0127.13202
[5] Grothendieck, A.: Critères de compacité dans les espaces fonctionnels généraux. Amer. J. Math.74, 168–186 (1952). · Zbl 0046.11702 · doi:10.2307/2372076
[6] Hejcman, J.: On conservative uniform spaces. Comment. Math. Univ. Carolinae7, 411–417 (1966). · Zbl 0141.20504
[7] Hewitt, E.: Rings of real-valued continuous functions. I. Trans. Amer. Math. Soc.64, 45–99 (1948). · Zbl 0032.28603 · doi:10.1090/S0002-9947-1948-0026239-9
[8] Isbell, J. R.: Uniform neighborhood retracts. Pacific J. Math.11, 609–648 (1961). · Zbl 0109.15402
[9] Katětov, M.: Allgemeine Stetigkeitsstrukturen. Proceed. Intern. Congress of Math., 473–479 (1962).
[10] Kenderov, P.: On topological vector groups (Russian). Mat. Sb.81, 580–599 (1970).
[11] Köthe, G.: Topologische lineare Räume. I. Berlin-Göttingen-Heidelberg: Springer 1960.
[12] Kuratowski, C.: Topologie. II. 2nd ed., Warszawa: Polish Academy of Sciences 1952. · Zbl 0048.41102
[13] Pietsch, A.: Nukleare lokalkonvexe Räume. Berlin: Akademie-Verlag 1965. · Zbl 0152.32302
[14] Raikov, D. A.: Free locally convex spaces of uniform spaces (Russian). Mat. Sb.63, 582–590 (1964).
[15] Raikov, D. A.: OnB-complete topological vector groups (Russian). Studia Math.XXXI, 295–305 (1968).
[16] Rolewicz, S.: Linear Metric Spaces and the Theory of Equations (mimeographed lecture notes). Warszawa: Polish Academy of Sciences (1967–1968).
[17] Samuel, P.: Ultrafilters and compactification of uniform spaces. Trans. Amer. Math. Soc.64, 100–132 (1948). · Zbl 0032.31401 · doi:10.1090/S0002-9947-1948-0025717-6
[18] Tomášek, S.: On tensor products of Abelian groups. Comment. Math. Univ. Carolinae6, 73–83 (1965). · Zbl 0132.02005
[19] —- On a certain class of {\(\Lambda\)}-structures. I, II. Czech. Math. J.20, 1–18, 19–33 (1970).
[20] —- Certain generalizations of the Katětov theorem. Comment. Math. Univ. Carolinae9, 573–581 (1968). · Zbl 0174.17601
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