Subnormality of Banach algebra
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2008), pp. 10-17.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper von Neumann–Fuglede–Putnam’s asymptotic theorem is proved for subnormal elements in complex Banach algebra in topology of wide classes.
@article{UZERU_2008_1_a1,
     author = {I. M. Karakhanyan and M. I. Karakhanyan},
     title = {Subnormality of {Banach} algebra},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {10--17},
     publisher = {mathdoc},
     number = {1},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2008_1_a1/}
}
TY  - JOUR
AU  - I. M. Karakhanyan
AU  - M. I. Karakhanyan
TI  - Subnormality of Banach algebra
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2008
SP  - 10
EP  - 17
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2008_1_a1/
LA  - ru
ID  - UZERU_2008_1_a1
ER  - 
%0 Journal Article
%A I. M. Karakhanyan
%A M. I. Karakhanyan
%T Subnormality of Banach algebra
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2008
%P 10-17
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2008_1_a1/
%G ru
%F UZERU_2008_1_a1
I. M. Karakhanyan; M. I. Karakhanyan. Subnormality of Banach algebra. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2008), pp. 10-17. http://geodesic.mathdoc.fr/item/UZERU_2008_1_a1/

[1] D. Fon Neiman, Izbr. trudy po funktsionalnomu analizu, v. 1, Nauka, M., 1987, 277–327 | MR

[2] B. Fuglede, “A Commutativity Theorem for Normal Operators”, Proc. Nat. Acad. Sci. USA, 36 (1950), 35–40 | DOI | MR | Zbl

[3] C.R. Putnam, “On normal operators in Hilbert space”, Amer. J. Math., 73 (1951), 357–362 | DOI | MR | Zbl

[4] S.K. Berberyan, “Note on a theorem of Fuglede and Putnam”, Proc. Amer. Math. Soc., 10 (1959), 175–182 | DOI | MR

[5] R. Moore, “An asymptotic Fuglede theorem”, Proc. Amer. Math. Soc., 50 (1975), 138–148 | DOI | MR

[6] D.D. Rogers, “On Fuglede’s theorem and operator topologies”, Proc. Amer. Math. Soc., 75 (1979), 32–36 RBibitem{GW} | MR | Zbl

[7] G. Weiss, “The Fuglede commutativity theorem modulo operator ideals”, Proc. Amer. Math. Soc., 83 (1981), 186–189 | DOI | MR

[8] M. V. Sheinberg, “Ob odnoi kharakterizatsii algebry $C(\Omega)$ v terminakh grupp kogomologii”, UMN, 32:5(197) (1977), 203–204 | MR | Zbl

[9] E. A. Gorin, M. I. Karakhanyan, “Asimptoticheskii variant teoremy Fuglida–Putnama o kommutatorakh dlya elementov banakhovykh algebr”, Matem. zametki, 22:2 (1977), 179–188 | MR | Zbl

[10] St. Petersburg Math. J., 5:4 (1994), 733–744 | MR | Zbl

[11] F.F. Bonsall, D. Duncan, Complete Normed Algebras, Springer, 1974 | MR

[12] M.I. Karakhanyan, “Asimptoticheskie svoistva kommutatorov”, Izv. NAN Armenii. Matematika, 29:1 (1994), 50–58 | MR