Geodesic
On symmetric subalgebras in Banach algebra
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2009), pp. 58-60.

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Symmetric subalgebras of a complex Banach algebra are studied with the help of von Neiman–Fuglede Theorem. The result is closely related to the problems of approximation theory.
Keywords: symmetric Banach algebra. 
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M. I. Karakhanyan; T. M. Khudoyan. On symmetric subalgebras in Banach algebra. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 3 (2009), pp. 58-60. http://geodesic.mathdoc.fr/item/UZERU_2009_3_a9/

[1] W. Rudin, Functional Analysis, Mir, M., 1975 (in Russian) | MR

[2] M.A. Naimark, Normed Rings, Nauka, M., 1968 (in Russian) | MR

[3] N.I. Akhiezer, Lectures on the Approximation Theory, Nauka, M., 1965 (in Russian)

[4] H.A. Asatryan, I.G. Khachatryan, M.I. Karakhanyan, A.H. Kamalyan, Banach Algebras and Spectral Theory, YSU Press, 2008, 251 pp. (in Russian)

[5] E.A. Gorin, “Bernstein Inequalities from the Perspective of Operator Theory”, Vestnik Kharkov. Univ., Series Prikl. Math. i Mekh., 45:205 (1980), 77–105 | MR | Zbl

[6] Funct. Anal. Appl., 39:4 (2005), 256–270 | DOI | DOI | MR | Zbl

[7] Funct. Anal. Appl., 39:4 (2005), 311–313 | DOI | DOI | MR | Zbl

[8] M.I. Karakhanyan, “Some remarks on general theorems of commutators”, Izv. NAN Armenii. Matematika, 42:3 (2007), 49–54 | MR | Zbl