Geodesic
A remark on symmetric $\beta$-uniformly closed algebra
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2015), pp. 21-25.

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The conjugate space of $\beta$-uniformly closed, symmetric algebras of functions on topological spaces are investigated. An application of such spaces in algebras of almost periodic functions is given.
Keywords: $\beta$-uniformly closed algebras, almost periodic function. 
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M. I. Karakhanyan. A remark on symmetric $\beta$-uniformly closed algebra. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2015), pp. 21-25. http://geodesic.mathdoc.fr/item/UZERU_2015_2_a3/

[1] I.M. Gelfand, D.A. Raikov, G.E. Shilov, Commutative Nored Rings, Chelsea, NY, 1964

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

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

[4] M.I. Karakhanyan, T.A. Khor’kova, “A Characteristic Property of the Algebra $C_{\beta}(\Omega)$”, Siberian Math. J., 30:1 (2009), 77–85 | DOI | MR

[5] S.A. Grigoryan, M.I. Karakhanyan, T.A. Khor’kova, “On $\beta$-Uniform Dirichlet Algebras”, Izv. Nat. Acad. Nauk Armenii. Matem., 45:6 (2010), 17–26 | MR

[6] E. Hewitt E., K.A. Ross, Abstract Harmonic Analysis, v. 1, Springer, Berlin–Heidelberg–New York, 1970 | MR | Zbl

[7] B.M. Levitan, Generalized Shift Operations and Some Application, Fizmatgiz, M., 1962 (in Russian) | MR

[8] A.I. Shtern, “Representation of Topological Groups in Locally Convex Space”, Russian J. Math. Phys., 11:1 (2004), 81–108 | MR | Zbl

[9] I.P. Cornfeld, Ya.G. Sinay, S.B. Fomin, Ergodic Theory, Nauka, M., 1980 | MR | Zbl