与半有限 von Neumann 对象相关的对称空间上的 Dixmier 型痕迹

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-04-16 DOI:10.1007/s43034-024-00343-y

Galina Levitina, Alexandr Usachev

引用次数: 0

摘要

我们证明，当且仅当与半inite von Neumann 代数相关联的某些对称空间上的归一化线性函数是 Dixmier 型迹线时，它尊重尾大化。

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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Dixmier-type traces on symmetric spaces associated with semifinite von Neumann algebras

We prove that a normalised linear functional on certain symmetric spaces associated with a semifinite von Neumann algebra, respects tail majorisation if and only if it is a Dixmier-type trace.

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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.