Characterisations for uniform amenability

IF 0.5 4区数学 Q3 MATHEMATICS

Indagationes Mathematicae-New Series Pub Date : 2023-06-24 DOI:10.1016/j.indag.2023.06.003

Jingming Zhu , Jiawen Zhang

引用次数: 0

Abstract

In this paper, we provide several characterisations for uniform amenability concerning a family of finitely generated groups. More precisely, we show that the Hulanicki–Reiter condition for uniform amenability can be weakened in several directions, including cardinalities of supports and certain operator norms.

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统一适应性的特征

本文给出了一类有限生成群的一致顺应性的几个特征。更准确地说，我们证明了统一可服从的Hulanicki-Reiter条件可以在几个方向上被削弱，包括支持的基数和某些算子范数。

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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来源期刊

Indagationes Mathematicae-New Series 数学-数学

CiteScore

1.20

自引率

16.70%

发文量

审稿时长

79 days

期刊介绍： Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.