将巴拿赫极限集合分解为离散和连续子集

IF 1.2 3区数学 Q1 MATHEMATICS

Annals of Functional Analysis Pub Date : 2024-08-16 DOI:10.1007/s43034-024-00382-5

Nikolai Avdeev, Evgenii Semenov, Alexandr Usachev, Roman Zvolinskii

引用次数: 0

摘要

这项工作的目的是用某个函数特征来描述巴拿赫极限的子集。我们计算了其中一些子集的半径和万有引力。

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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Decomposition of the set of Banach limits into discrete and continuous subsets

The aim of this work is to describe subsets of Banach limits in terms of a certain functional characteristic. We compute radii and cardinalities for some of these subsets.

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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.