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Katsaras, A.

Spaces of vector measures. (English) Zbl 0275.46029

Trans. Am. Math. Soc. 206, 313-328 (1975).
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Cited in 18 Documents

MSC:

46E40 Spaces of vector- and operator-valued functions
28B05 Vector-valued set functions, measures and integrals
46G10 Vector-valued measures and integration
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References:

[1] A. D. Alexandroff, Additive set-functions in abstract spaces, Rec. Math. [Mat. Sbornik] N. S. 8 (50) (1940), 307 – 348 (English, with Russian summary). · JFM 66.0218.01
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[3] Witold M. Bogdanowicz, An approach to the theory of integration generated by Daniell functionals and representations of linear continuous functionals, Math. Ann. 173 (1967), 34 – 52. · Zbl 0152.13503 · doi:10.1007/BF01351517
[4] R. Creighton Buck, Bounded continuous functions on a locally compact space, Michigan Math. J. 5 (1958), 95 – 104. · Zbl 0087.31502
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[8] A. Katsaras, Continuous linear functionals on spaces of vector-valued functions, Bull. Soc. Math. Grèce (N.S.) 15 (1974), 13 – 19. · Zbl 0308.46039
[9] R. B. Kirk, Locally compact, \?-compact spaces, Nederl. Akad. Wetensch. Proc. Ser. A 72=Indag. Math. 31 (1969), 333 – 344. · Zbl 0188.28003
[10] Gottfried Köthe, Topological vector spaces. I, Translated from the German by D. J. H. Garling. Die Grundlehren der mathematischen Wissenschaften, Band 159, Springer-Verlag New York Inc., New York, 1969. · Zbl 0179.17001
[11] J. D. Knowles, Measures on topological spaces, Proc. London Math. Soc. (3) 17 (1967), 139 – 156. · Zbl 0154.05101 · doi:10.1112/plms/s3-17.1.139
[12] E. J. McShane, A Riemann-type integral that includes Lebesgue-Stieltjes, Bochner and stochastic integrals, Memoirs of the American Mathematical Society, No. 88, American Mathematical Society, Providence, R.I., 1969. · Zbl 0188.35702
[13] Anthony L. Peressini, Ordered topological vector spaces, Harper & Row, Publishers, New York-London, 1967. · Zbl 0169.14801
[14] Helmut H. Schaefer, Topological vector spaces, The Macmillan Co., New York; Collier-Macmillan Ltd., London, 1966. · Zbl 0141.30503
[15] F. Dennis Sentilles, Bounded continuous functions on a completely regular space, Trans. Amer. Math. Soc. 168 (1972), 311 – 336. · Zbl 0244.46027
[16] Ivan Zinger, Linear functionals on the space of continuous mappings of a compact Hausdorff space into a Banach space, Rev. Math. Pures Appl. 2 (1957), 301 – 315 (Russian).
[17] V. S. Varadarajan, Measures on topological spaces, Mat. Sb. (N.S.) 55 (97) (1961), 35 – 100 (Russian).
[18] James Wells, Bounded continuous vector-valued functions on a locally compact space, Michigan Math. J. 12 (1965), 119 – 126. · Zbl 0163.36301
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