The Set of Banach Limits and Its Discrete and Continuous Subsets

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-09-13 DOI:10.1134/s106456242470217x

N. N. Avdeev, R. E. Zvolinskii, E. M. Semenov, A. S. Usachev

引用次数: 0

Abstract

Criteria for a Banach limit to belong to the discrete or continuous part of the set of Banach limits are presented. The diameters and radii of these parts are found.

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巴拿赫极限集合及其离散和连续子集

摘要提出了巴拿赫极限属于巴拿赫极限集合离散或连续部分的标准。求出了这些部分的直径和半径。

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

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.