Geodesic
The Stone–Weierstrass Theorem and Spaces of Measures
Matematičeskie zametki, Tome 72 (2002) no. 3, pp. 455-467
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Results concerning the Stone–Weierstrass theorems for completely regular spaces are obtained. 
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V. P. Fedorova. The Stone–Weierstrass Theorem and Spaces of Measures. Matematičeskie zametki, Tome 72 (2002) no. 3, pp. 455-467. http://geodesic.mathdoc.fr/item/MZM_2002_72_3_a12/

[1] Hewitt E., “Certain generalizations of the Weierstrass approximation theorem”, Duke Math. J., 14 (1947), 419–427 | DOI | MR | Zbl

[2] Giles R., “A generalization of the strict topology”, Trans. Amer. Math. Soc., 161 (1971), 467–474 | DOI | MR | Zbl

[3] Engelking R., Obschaya topologiya, Mir, M., 1986

[4] Burbaki N., Obschaya topologiya, gl. IX, X, Nauka, M., 1975

[5] Shefer Kh., Topologicheskie vektornye prostranstva, Mir, M., 1986

[6] Aleksandrov A. D., “Additive set functions in abstract spaces. I; II; III”, Matem. sb., 8 (1940), 307–348 ; Матем. сб., 9 (1941), 563–628 ; Матем. сб., 13 (1943), 169–238 | MR | MR | MR

[7] Varadarain V. S., “Mery na topologicheskikh prostranstvakh”, Matem. sb., 55 (97) (1961), 35–100 | MR

[8] Knowles J. D., “Measures on topological spaces”, Proc. London Math. Soc. (3), 17 (1967), 139–156 | DOI | MR | Zbl

[9] Fëdorova V. P., “Dualnaya kharakterizatsiya popolneniya i polnoty ravnomernogo prostranstva”, Matem. sb., 64 (106) (1964), 631–639 | MR | Zbl

[10] Jameson G. I. O., “Topological $M$-spaces”, Math. Z., 103 (1968), 139–150 | DOI | MR | Zbl

[11] Fëdorova V. P., “Integralnye predstavleniya funktsionalov na prostranstvakh ravnomerno nepreryvnykh funktsii”, Sib. matem. zh., 23:5 (1982), 205–218 | MR | Zbl

[12] Gould G. G., Mahowald M., “Measures on completely regular spaces”, J. London Math. Soc., 37 (1962), 103–111 | DOI | MR | Zbl

[13] Raikov D. A., “Svobodnye lokalno vypuklye prostranstva ravnomernykh prostranstv”, Matem. sb., 63 (105) (1964), 582–590 | MR | Zbl

[14] Fëdorova V. P., “Lineinye funktsionaly na prostranstvakh ravnomerno nepreryvnykh funktsii i abstraktnye mery”, Matem. zametki, 36:5 (1984), 743–754 | MR | Zbl

[15] Hewitt E., “Linear functionals on spaces of continuous functions”, Fund. Math., 37 (1950), 161–189 | MR | Zbl