Schur inequality for Murray–von Neumann algebras and its applications

Shavkat Ayupov; Jinghao Huang; Karimbergen Kudaybergenov

doi:10.1007/s43034-024-00347-8

Schur inequality for Murray–von Neumann algebras and its applications

Shavkat Ayupov
, Jinghao Huang
, Karimbergen Kudaybergenov^*

^*Corresponding author for this work

School of Mathematics

Academy of Sciences of the Republic of Uzbekistan
National University of Uzbekistan named after Mirzo Ulugbek

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

Abstract

In this paper, we present a version of the Schur inequality in the setting of Murray–von Neumann algebras, extending a result by Arveson and Kadison. We also describe the ring isomorphisms between ∗-subalgebras of two Murray–von Neumann algebras. A short proof of the commutator estimation theorem for Murray–von Neumann algebras is given as an easy application.

Original language	English
Article number	47
Journal	Annals of Functional Analysis
Volume	15
Issue number	3
DOIs	https://doi.org/10.1007/s43034-024-00347-8
State	Published - Jul 2024

Keywords

46L40
46L51
Commutator estimation
Murray–von Neumann algebras
Ring isomorphisms
Schur inequality

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10.1007/s43034-024-00347-8

Cite this

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abstract = "In this paper, we present a version of the Schur inequality in the setting of Murray–von Neumann algebras, extending a result by Arveson and Kadison. We also describe the ring isomorphisms between ∗-subalgebras of two Murray–von Neumann algebras. A short proof of the commutator estimation theorem for Murray–von Neumann algebras is given as an easy application.",

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PY - 2024/7

Y1 - 2024/7

N2 - In this paper, we present a version of the Schur inequality in the setting of Murray–von Neumann algebras, extending a result by Arveson and Kadison. We also describe the ring isomorphisms between ∗-subalgebras of two Murray–von Neumann algebras. A short proof of the commutator estimation theorem for Murray–von Neumann algebras is given as an easy application.

AB - In this paper, we present a version of the Schur inequality in the setting of Murray–von Neumann algebras, extending a result by Arveson and Kadison. We also describe the ring isomorphisms between ∗-subalgebras of two Murray–von Neumann algebras. A short proof of the commutator estimation theorem for Murray–von Neumann algebras is given as an easy application.

KW - 46L40

KW - 46L51

KW - Commutator estimation

KW - Murray–von Neumann algebras

KW - Ring isomorphisms

KW - Schur inequality

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DO - 10.1007/s43034-024-00347-8

M3 - 文章

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VL - 15

JO - Annals of Functional Analysis

JF - Annals of Functional Analysis

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M1 - 47

ER -

Schur inequality for Murray–von Neumann algebras and its applications

Abstract

Keywords

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