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

School of Mathematics and Statistics

Beijing Institute of Technology

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

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.

Original language	English
Pages (from-to)	2553-2561
Number of pages	9
Journal	Filomat
Volume	32
Issue number	7
DOIs	https://doi.org/10.2298/FIL1807553S
Publication status	Published - 2018

Keywords

Bimoduler property
Factor of type I
Noncommutative L space
Projection

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title = " The classification of closed subspaces of noncommutative L 2 space associated with a factor of type I ",

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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KW - Bimoduler property

KW - Factor of type I

KW - Noncommutative L space

KW - Projection

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U2 - 10.2298/FIL1807553S

DO - 10.2298/FIL1807553S

M3 - Article

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JO - Filomat

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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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Keywords

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