墨累-冯-诺依曼代数的舒尔不等式及其应用

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-04-18 DOI:10.1007/s43034-024-00347-8

Shavkat Ayupov, Jinghao Huang, Karimbergen Kudaybergenov

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引用次数: 0

摘要

在本文中，我们扩展了 Arveson 和 Kadison 的一个结果，提出了在 Murray-von Neumann 对象中的舒尔不等式。我们还描述了两个穆雷-冯-诺依曼代数的 \(*\)- 子代数之间的环同构。作为一个简单的应用，我们给出了 Murray-von Neumann 对象换元估计定理的简短证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Schur inequality for Murray–von Neumann algebras and its applications

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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来源期刊

Annals of Functional Analysis MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.00

自引率

10.00%

发文量

期刊介绍： Annals of Functional Analysis is published by Birkhäuser on behalf of the Tusi Mathematical Research Group. Ann. Funct. Anal. is a peer-reviewed electronic journal publishing papers of high standards with deep results, new ideas, profound impact, and significant implications in all areas of functional analysis and all modern related topics (e.g., operator theory). Ann. Funct. Anal. normally publishes original research papers numbering 18 or fewer pages in the journal’s style. Longer papers may be submitted to the Banach Journal of Mathematical Analysis or Advances in Operator Theory. Ann. Funct. Anal. presents the best paper award yearly. The award in the year n is given to the best paper published in the years n-1 and n-2. The referee committee consists of selected editors of the journal.