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

被引：1
作者：
Ibragimov M.M. [1 ]
Kudaibergenov K.K. [1 ]
Seipullaev Z.K. [2 ]
机构：
[1] Karakalpak State University named after Berdakh, ul. Akademika C. Abdirova 1, Nukus
[2] National University of Uzbekistan, ul. Durmon Yuli 29, Tashkent
来源：
Russian Mathematics | 2018年 / 62卷 / 5期
关键词：
Face; Projector; Side-symmetric space; Von Neumann algebra;
D O I：
10.3103/S1066369X18050055
中图分类号：
学科分类号：
摘要：
We prove that predual of real part of von Neumann algebra is strongly facially symmetric space if and only if is it a direct sum of Abelian algebra and algebra of I2 type. At that, neutral strongly facially symmetric space is predual to Abelian algebra, only. © Allerton Press, Inc., 2018.
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页码：27 / 33
页数：6
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