Geodesic
On algebras of bounded functions on completely regular spaces
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 3, pp. 231-235.

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Some aspects on strict topology in algebras of continuous and bounded functions on completely regular spaces are discussed in this work. Also some properties of their dual spaces are investigated.
Keywords: $\beta$-uniformly algebras, complete regular space, discontinuous multiplicative functional. 
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M. I. Karakhanyan. On algebras of bounded functions on completely regular spaces. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 51 (2017) no. 3, pp. 231-235. http://geodesic.mathdoc.fr/item/UZERU_2017_51_3_a3/

[1] R.C. Buck, “Bounded Continuous Functions on a Locally Compact Space”, Michigan Math. J., 5 (1958), 95–104 | DOI | MR | Zbl

[2] R. Giles, “A Generalization of the Strict Topology”, Transactions of the American Math. Soc., 161 (1971), 467–474 | DOI | MR | Zbl

[3] F.D. Sentilles, “Bounded Continuous Functions on a Complete Regular Space”, Transactions of the American Math. Soc., 168 (1972), 311–336 | DOI | MR | Zbl

[4] J. Hoffmann–Jorgensen, “A Generalization of the Strict Topology”, Math. Scand., 30 (1972), 313–323 | DOI | MR | Zbl

[5] M.I. Karakhanyan, T.A. Khor’kova, “A Characterization of the Algebra $Cb (W)$”, Functional Anal. and Its Applic., 13:1 (2009), 69–71 | DOI

[6] M.I. Karakhanyan, T.A. Khor’kova, “A Characteristic Property of the Algebra $C_b (W)$”, Siberian Math. J., 50:1 (2009), 77–85 | DOI | MR | Zbl

[7] I. M. Gelfand, D. A. Raikov, G. E. Shilov, Commutative Normed Ringe, Chelsea, NY, 1964 | MR

[8] W. Rudin, Functional Analysis, McGraw-Hill Book Company, NY, Toronto