01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
17.03.1948
E-mail:
Keywords:
Banach Algebras, Strong Uniform Algebras, The Spectral Theory of Non-self-adjoint operators
Subject:
Banach Algebras, Strong Uniform Algebras, The Spectral Theory of Non-self-adjoint operators
Main publications:
Karakhanyan M.I., Kamalyan H.A., “A remark on commutativity of the image of A-valued analytic function”, Izvestia NAN Armenii, Mathematica, 48:2 (2013), 39–42
Grigoryan S.A., Karakhanyan M. I. Khorkova T.A., “About $\beta$-uniform Dirichlet algebras”, Izv. Akad. Nauk Armenii Mat., 45:6 (2010), 17–26
Karakhanyan M. I., “On the equation $ax-xb=c$ in complex Banach algebras”, Izv. Akad. Nauk Armenii Mat., 35:2 (2000), 36–44
Karakhanyan I. M., Karakhanyan M. I., “Comutativity in Banach algebras”, Izv. Akad. Nauk Armenii Mat., 34:4 (1999), 77–82
Karakhanyan M.I., “On the commutativity of the range of an A-valued analytic function”, Izv. Akad. Nauk Armenii Mat., 31:1 (1996), 35–45
Karakhanyan M.I., “Asymptotic properties of commutators of elements of Banach algebras”, Izv. Akad. Nauk Armjan. SSR Ser. Mat., 19:3 (1984), 242–247
Karakhanyan M.I., “An asymptotic variant of the Fuglede–Putmen theorem on commutators of linear bounded operators in strong nd weak operator topologies”, Izv. Akad. Nauk Armjan. SSR, 73:5 (1981), 265–268
Gorin, E.A.; Karakhanyan M.I., “Some certain characteristics properties of the algebra of all continuous functions on a locally connected compacyum”, Izv. Akad. Nauk ArmjanSSR Ser. Mat., 11:3 (1976), 237–255
A. G. Kamalian, M. I. Karakhanyan, “On solvability of some boundary problem”, Proceedings of the YSU, Physical and Mathematical Sciences, 54:1 (2020), 29–34
2017
2.
M. I. Karakhanyan, “On algebras of bounded functions on completely regular spaces”, Proceedings of the YSU, Physical and Mathematical Sciences, 51:3 (2017), 231–235
2015
3.
M. I. Karakhanyan, “A remark on symmetric $\beta$-uniformly closed algebra”, Proceedings of the YSU, Physical and Mathematical Sciences, 2015, no. 2, 21–25
2013
4.
M. I. Karakhanyan, H. A. Kamalyan, “Some remarks on properties of elements from complex Banach algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 2013, no. 2, 15–21
2012
5.
M. I. Karakhanian, “Almost periodicity in spectral analysis representations induced by generalized shift operation”, Proceedings of the YSU, Physical and Mathematical Sciences, 2012, no. 3, 9–13
2010
6.
M. I. Karakhanyan, T. M. Khudoyan, “A remark on strict uniform algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 2010, no. 3, 35–39
7.
S. A. Hosseiny Matikolai, A. G. Kamalian, M. I. Karakhanyan, “On an anisotropic boundary problem of diffraction with first and second type boundary conditions”, Proceedings of the YSU, Physical and Mathematical Sciences, 2010, no. 2, 12–15
M. I. Karahanyan, T. A. Khor'kova, “A Characterization of the Algebra $C_\beta(\Omega)$”, Funktsional. Anal. i Prilozhen., 43:1 (2009), 85–87; Funct. Anal. Appl., 43:1 (2009), 69–71
M. I. Karahanyan, T. A. Khor'kova, “A characteristic property of the algebra $C(\Omega)_\beta$”, Sibirsk. Mat. Zh., 50:1 (2009), 96–106; Siberian Math. J., 50:1 (2009), 77–85
M. I. Karakhanyan, T. M. Khudoyan, “On symmetric subalgebras in Banach algebra”, Proceedings of the YSU, Physical and Mathematical Sciences, 2009, no. 3, 58–60
11.
I. M. Karakhanyan, M. I. Karakhanyan, “A remark on asymptotic property of commutators”, Proceedings of the YSU, Physical and Mathematical Sciences, 2009, no. 2, 63–66
I. M. Karakhanyan, M. I. Karakhanyan, “Subnormality of Banach algebra”, Proceedings of the YSU, Physical and Mathematical Sciences, 2008, no. 1, 10–17
2005
13.
M. Karakhanyan, “An Asymptotic Version of General Commutator Theorems”, Funktsional. Anal. i Prilozhen., 39:4 (2005), 80–83; Funct. Anal. Appl., 39:4 (2005), 311–313
M. I. Karakhanyan, “On the subnormal elements in $C^{\ast}$-algebras”, Proceedings of the YSU, Physical and Mathematical Sciences, 1992, no. 1, 34–40
1989
16.
M. I. Karakhanyan, “On the asymptotic property of normal operators commutators in weak, strong and the strongest $B$-module operator typologies”, Proceedings of the YSU, Physical and Mathematical Sciences, 1989, no. 1, 3–6
1988
17.
M. I. Karakhanyan, “On the fullness conditions of the eigenvector system of general normal operators”, Proceedings of the YSU, Physical and Mathematical Sciences, 1988, no. 3, 3–8
1986
18.
G. S. Hakobyan, M. I. Karakhanyan, “On some spectral properties of normal operators in the Banach space”, Proceedings of the YSU, Physical and Mathematical Sciences, 1986, no. 3, 1–10
1985
19.
M. I. Karakhanyan, “On an asympthotic property of Banach algebra commutators”, Proceedings of the YSU, Physical and Mathematical Sciences, 1985, no. 2, 17–20
1978
20.
M. I. Karahanyan, “Algebras of continuous functions on locally connected compact spaces”, Funktsional. Anal. i Prilozhen., 12:2 (1978), 82–83; Funct. Anal. Appl., 12:2 (1978), 144–146
21.
M. I. Karahanyan, “On some algebraic characteristics of the algebra of all continuous functions on a locally connected compactum”, Mat. Sb. (N.S.), 107(149):3(11) (1978), 416–434; Math. USSR-Sb., 35:5 (1979), 681–696
E. A. Gorin, M. I. Karahanyan, “An asymptotic variant of the Fuglede–Putnam theorem on commutators for elements of Banach algebras”, Mat. Zametki, 22:2 (1977), 179–188; Math. Notes, 22:2 (1977), 591–596
A. G. Kamalian, M. I. Karakhanyan, “On algebraic equation with coefficients from the $\beta $-uniform algebra $C_\beta(\Omega)$”, Proceedings of the YSU, Physical and Mathematical Sciences, 52:3 (2018), 161–165
2000
24.
M. I. Karakhanyan, “On the spectral theorem for the Banach representation compact group originated by he Delsart shifts”, Proceedings of the YSU, Physical and Mathematical Sciences, 2000, no. 1, 20–27