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

M. M. Ibragimov; K. K. Kudaibergenov; Zh Kh Seipullaev

doi:10.3103/S1066369X18050055

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

M. M. Ibragimov
, K. K. Kudaibergenov
, Zh Kh Seipullaev

Karakalpak State University
National University of Uzbekistan named after Mirzo Ulugbek

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	27-33
Number of pages	7
Journal	Russian Mathematics
Volume	62
Issue number	5
DOIs	https://doi.org/10.3103/S1066369X18050055
State	Published - May 2018
Externally published	Yes

Keywords

Face
Projector
Side-symmetric space
Von Neumann algebra

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10.3103/S1066369X18050055

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title = "Facially symmetric spaces and predual ones of hermitian part of von Neumann algebras",

abstract = "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.",

keywords = "Face, Projector, Side-symmetric space, Von Neumann algebra",

author = "Ibragimov, \{M. M.\} and Kudaibergenov, \{K. K.\} and Seipullaev, \{Zh Kh\}",

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year = "2018",

month = may,

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AU - Ibragimov, M. M.

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AU - Seipullaev, Zh Kh

N1 - Publisher Copyright: © Allerton Press, Inc., 2018.

PY - 2018/5

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N2 - 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.

AB - 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.

KW - Face

KW - Projector

KW - Side-symmetric space

KW - Von Neumann algebra

UR - https://www.scopus.com/pages/publications/85048928586

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DO - 10.3103/S1066369X18050055

M3 - 文章

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JO - Russian Mathematics

JF - Russian Mathematics

IS - 5

ER -

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

Abstract

Keywords

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