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Cooper, J. B.

The Mackey topology as a mixed topology. (English) Zbl 0321.46003

Proc. Am. Math. Soc. 53, 107-112 (1975).
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MSC:

46A03 General theory of locally convex spaces
46E10 Topological linear spaces of continuous, differentiable or analytic functions
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[1] Nicolas Bourbaki, Elements of mathematics. General topology. Part 1, Hermann, Paris; Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966. Nicolas Bourbaki, Elements of mathematics. General topology. Part 2, Hermann, Paris; Addison-Wesley Publishing Co., Reading, Mass.-London-Don Mills, Ont., 1966.
[2] R. Creighton Buck, Bounded continuous functions on a locally compact space, Michigan Math. J. 5 (1958), 95 – 104. · Zbl 0087.31502
[3] H. S. Collins and J. R. Dorroh, Remarks on certain function spaces, Math. Ann. 176 (1968), 157 – 168. · Zbl 0159.18401 · doi:10.1007/BF02056983
[4] John B. Conway, The strict topology and compactness in the space of measures. II, Trans. Amer. Math. Soc. 126 (1967), 474 – 486. · Zbl 0166.10901
[5] J. B. Cooper, The strict topology and spaces with mixed topologies, Proc. Amer. Math. Soc. 30 (1971), 583 – 592. · Zbl 0225.46004
[6] -, Topologies sur l’espace des opérateurs dans l’espace hilbertien, C. R. Acad. Sci. Paris Sér. A-B 276 (1973), A1509-A1511. MR 47 #7519. · Zbl 0258.46056
[7] -, Compactologies and spaces of bounded continuous functions, Institutsbericht–Hochschule Linz, August 1974.
[8] D. H. Fremlin, D. J. H. Garling, and R. G. Haydon, Bounded measures on topological spaces, Proc. London Math. Soc. (3) 25 (1972), 115 – 136. · Zbl 0236.46025 · doi:10.1112/plms/s3-25.1.115
[9] Dieter Keim, Induktive und projektive Limiten mit Zerlegung der Einheit, Manuscripta Math. 10 (1973), 191 – 195 (German, with English summary). · Zbl 0261.46066 · doi:10.1007/BF01475041
[10] Lucien LeCam, Convergence in distribution of stochastic processes, Univ. Calif. Publ. Statist. 2 (1957), 207 – 236.
[11] Z. Semadeni, Projectivity, injectivity and duality, Rozprawy Mat. 35 (1963), 47. · Zbl 0121.02401
[12] F. Dennis Sentilles, Bounded continuous functions on a completely regular space, Trans. Amer. Math. Soc. 168 (1972), 311 – 336. · Zbl 0244.46027
[13] K. D. Stroyan, A characterization of the Mackey uniformity \?(\?^{\infty }, \?\textonesuperior ) for finite measures, Pacific J. Math. 49 (1973), 223 – 228. · Zbl 0247.46049
[14] François Trèves, Topological vector spaces, distributions and kernels, Academic Press, New York-London, 1967. · Zbl 0171.10402
[15] Robert F. Wheeler, The strict topology, separable measures, and paracompactness, Pacific J. Math. 47 (1973), 287 – 302. · Zbl 0244.46028
[16] Marc De Wilde, Inductive limits and partitions of unity, Manuscripta Math. 5 (1971), 45 – 58. · Zbl 0214.12503 · doi:10.1007/BF01397608
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