M. M. Ibragimov, K. K. Kudaibergenov, Zh. Kh. Seipullaev, “Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, Number 5,Pages <nobr>33

This article is cited in 3 papers

Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras

M. M. Ibragimov^a, K. K. Kudaibergenov^a, Zh. Kh. Seipullaev^b

^a Karakalpak State University named after Berdakh, 1 Ac. C. Abdirov str., Nukus, 230113 Republic of Uzbekistan
^b National University of Uzbekistan, 29 Durmon Yuli str., Tashkent, 100125 Republic of Uzbekistan

Abstract: We prove that predual of real part of von Newmann algebra is strongly facially symmetric space if and only if is it a direct sum of Abelian algebra and algebra of $I_2$ type. At that, neutral strongly facially symmetric space is predual to Abelian algebra, only.

Keywords: face, projector, von Neumann algebra, side-symmetric space.

UDC: 598.17

Received: 20.02.2017