The classification of closed subspaces of noncommutative L                         2                          space associated with a factor of type I

C. Shen; L. Jiang; X. Wei

doi:10.2298/FIL1807553S

The classification of closed subspaces of noncommutative L ₂ space associated with a factor of type I

C. Shen
, L. Jiang
, X. Wei

数学学院

Beijing Institute of Technology

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

In this article, we discuss the relationship between the projections of a factor M of type I and the closed subspaces of the noncommutative L ₂ space L ₂ (M). Moreover, we consider the classification of these closed subspaces.

源语言	英语
页（从-至）	2553-2561
页数	9
期刊	Filomat
卷	32
期	7
DOI	https://doi.org/10.2298/FIL1807553S
出版状态	已出版 - 2018

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10.2298/FIL1807553S

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abstract = " In this article, we discuss the relationship between the projections of a factor M of type I and the closed subspaces of the noncommutative L 2 space L 2 (M). Moreover, we consider the classification of these closed subspaces.",

keywords = "Bimoduler property, Factor of type I, Noncommutative L space, Projection",

author = "C. Shen and L. Jiang and X. Wei",

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AU - Jiang, L.

AU - Wei, X.

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AB - In this article, we discuss the relationship between the projections of a factor M of type I and the closed subspaces of the noncommutative L 2 space L 2 (M). Moreover, we consider the classification of these closed subspaces.

KW - Bimoduler property

KW - Factor of type I

KW - Noncommutative L space

KW - Projection

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DO - 10.2298/FIL1807553S

M3 - Article

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IS - 7

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The classification of closed subspaces of noncommutative L 2 space associated with a factor of type I

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The classification of closed subspaces of noncommutative L ₂ space associated with a factor of type I