巴拿赫极限:极值性质、不变性和富比尼定理

IF 0.7 4区数学 Q2 MATHEMATICS

St Petersburg Mathematical Journal Pub Date : 2022-06-27 DOI:10.1090/spmj/1717

N. Avdeev, E. Semenov, A. Usachev

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引用次数: 1

摘要

所有有界实序列空间上的Banach极限是一个正的归一化线性泛函，它对位移是不变的。本文研究了Banach极限的乘法性和富比尼定理的有效性。还讨论了关于扩张算子的Banach极限不变量的一个子集。

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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Banach limits: extreme properties, invariance and the Fubini theorem

A Banach limit on the space of all bounded real sequences is a positive normalized linear functional that is invariant with respect to the shift. The paper studies such properties of Banach limits as multiplicativity and the validity of Fubini’s theorem. A subset of Banach limits invariant with respect to dilation operators is also treated.

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来源期刊

St Petersburg Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.