Facially Symmetric Spaces and Predual Ones of Hermitian Part of von Neumann Algebras
M. M. IbragimovKarakalpak State University named after Berdakh, ul. Akademika C. Abdirova 1, Nukus, 230113, Republic of UzbekistanK. K. KudaibergenovKarakalpak State University named after Berdakh, ul. Akademika C. Abdirova 1, Nukus, 230113, Republic of UzbekistanZh. Kh. SeipullaevNational University of Uzbekistan, ul. Durmon Yuli 29, Tashkent, 100125, Republic of Uzbekistan
ABI
Annotatsiya
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.
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