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Khurana, Surjit Singh

Topologies on spaces of vector-valued continuous functions. II. (English) Zbl 0362.46035

Math. Ann. 234, 159-166 (1978).
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Cited in 1 Review
Cited in 10 Documents

MSC:

46G10 Vector-valued measures and integration
46E40 Spaces of vector- and operator-valued functions
46A03 General theory of locally convex spaces
28B05 Vector-valued set functions, measures and integrals
54C35 Function spaces in general topology
60B05 Probability measures on topological spaces
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References:

[1] Dixmier, J.: Sur certain espaces consid?r?s par M. H. Stone. Summa Brasil Math.2, 151-182 (1951) · Zbl 0045.38002
[2] Fremlin, D. H., Garling, D. J. H., Haydon, R. G.: Bounded measures on topological spaces. Proc. London Math. Soc.25, 115-136 (1972) · Zbl 0236.46025 · doi:10.1112/plms/s3-25.1.115
[3] Garling, D. J. H.: A generalized form of inductive limit topology for vector spaces. Proc. London Math. Soc.14, 1-28 (1964) · Zbl 0163.36201 · doi:10.1112/plms/s3-14.1.1
[4] Hewitt, E.: The ranges of certain convolution operators. Math. Scand.15, 147-155 (1964) · Zbl 0135.36002
[5] Katsaras, H. K.: Locally convex topologies on spaces of continuous vector functions. Math. Nachr.71, 211-216 (1976) · doi:10.1002/mana.19760710117
[6] Katsaras, H. K.: Spaces of vector measures. Trans. Amer. Math. Soc.206, 313-328 (1975) · Zbl 0275.46029 · doi:10.1090/S0002-9947-1975-0365111-8
[7] Khurana, S. S.: Strict topology on paracompact locally compact spaces. Canad. J. Math.29, 216-219 (1977) · Zbl 0335.46007 · doi:10.4153/CJM-1977-021-8
[8] Khurana, S. S.: Topologies on spaces of vector-valued continuous functions. Trans. Amer. Math. Soc. (to appear) · Zbl 0362.46035
[9] Mosiman, S. E., Wheeler, R. F.: The strict topology in a completely regular setting: relations to topological measure theory. Canad. J. Math.24, 873-890 (1972) · Zbl 0219.46003 · doi:10.4153/CJM-1972-087-2
[10] Rosenthal, H. P.: On relatively disjoint family of measures with some application to Banach space theory. Studia Math.37, 13-36 (1970) · Zbl 0227.46027
[11] Schaefer, H. H.: Topological vector spaces. New York: Macmillan 1966 · Zbl 0141.30503
[12] Wheeler, R. F.: Well-behaved and totally bounded approximate identities forC 0(X). Pacific J. Math.65, 261-270 (1976) · Zbl 0288.46049
[13] Khurana, S. S., Choo, S. A.: Strict topology andP-spaces. Proc. Amer. Math. Soc.61, 280-284 (1976) · Zbl 0322.46052
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