Egoroff’s theorem in measurable operator spaces associated with a Von Neumann algebra

Congcong Shen; Lining Jiang

doi:10.1007/s13226-018-0283-6

Egoroff’s theorem in measurable operator spaces associated with a Von Neumann algebra

Congcong Shen^*, Lining Jiang

^*Corresponding author for this work

School of Mathematics and Statistics

Beijing Institute of Technology

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

1 Citation (Scopus)

Abstract

In this article, some kinds of convergence about the τ–measurable operators affiliated with a von Neumann algebra are defined. Moreover, the relationships among these kinds of convergence are considered.

Original language	English
Pages (from-to)	539-548
Number of pages	10
Journal	Indian Journal of Pure and Applied Mathematics
Volume	49
Issue number	3
DOIs	https://doi.org/10.1007/s13226-018-0283-6
Publication status	Published - 1 Sept 2018

Keywords

Measurable operator
almost uniformly convergent
convergent
convergent in measure
uniformly convergent

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title = "Egoroff{\textquoteright}s theorem in measurable operator spaces associated with a Von Neumann algebra",

abstract = "In this article, some kinds of convergence about the τ–measurable operators affiliated with a von Neumann algebra are defined. Moreover, the relationships among these kinds of convergence are considered.",

keywords = "Measurable operator, almost uniformly convergent, convergent, convergent in measure, uniformly convergent",

author = "Congcong Shen and Lining Jiang",

note = "Publisher Copyright: {\textcopyright} 2018, Indian Academy of Sciences.",

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AU - Shen, Congcong

AU - Jiang, Lining

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N2 - In this article, some kinds of convergence about the τ–measurable operators affiliated with a von Neumann algebra are defined. Moreover, the relationships among these kinds of convergence are considered.

AB - In this article, some kinds of convergence about the τ–measurable operators affiliated with a von Neumann algebra are defined. Moreover, the relationships among these kinds of convergence are considered.

KW - Measurable operator

KW - almost uniformly convergent

KW - convergent

KW - convergent in measure

KW - uniformly convergent

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M3 - Article

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JO - Indian Journal of Pure and Applied Mathematics

JF - Indian Journal of Pure and Applied Mathematics

IS - 3

ER -

Egoroff’s theorem in measurable operator spaces associated with a Von Neumann algebra

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Keywords

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