The Set of Banach Limits and Its Discrete and Continuous Subsets

Pub Date : 2024-09-13 DOI:10.1134/s106456242470217x
N. N. Avdeev, R. E. Zvolinskii, E. M. Semenov, A. S. Usachev
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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。
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