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

Access to Document

10.2298/FIL1807553S

Cite this

@article{0b1e89e2252e42d8be9f12c338cf0ecb,

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",

year = "2018",

doi = "10.2298/FIL1807553S",

language = "English",

volume = "32",

pages = "2553--2561",

journal = "Filomat",

issn = "0354-5180",

publisher = "University of Nis",

number = "7",

}

TY - JOUR

T1 - The classification of closed subspaces of noncommutative L 2 space associated with a factor of type I

AU - Shen, C.

AU - Jiang, L.

AU - Wei, X.

PY - 2018

Y1 - 2018

N2 - 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.

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

UR - https://www.scopus.com/pages/publications/85061383207

U2 - 10.2298/FIL1807553S

DO - 10.2298/FIL1807553S

M3 - Article

AN - SCOPUS:85061383207

SN - 0354-5180

VL - 32

SP - 2553

EP - 2561

JO - Filomat

JF - Filomat

IS - 7

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this