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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 5, Pages 33–40
(Mi ivm9356)
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This article is cited in 3 scientific papers (total in 3 papers)
Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras
M. M. Ibragimova, K. K. Kudaibergenova, Zh. Kh. Seipullaevb 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.
Received: 20.02.2017
Citation:
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, no. 5, 33–40; Russian Math. (Iz. VUZ), 62:5 (2018), 27–33
Linking options:
https://www.mathnet.ru/eng/ivm9356 https://www.mathnet.ru/eng/ivm/y2018/i5/p33
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Abstract page: | 192 | Full-text PDF : | 36 | References: | 23 | First page: | 5 |
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