正确的巴拿赫函数空间

IF 0.5 4区数学 Q3 MATHEMATICS

Indagationes Mathematicae-New Series Pub Date : 2024-03-01 DOI:10.1016/j.indag.2023.11.004

Emiel Lorist , Zoe Nieraeth

引用次数: 0

摘要

本文讨论了(拟-)Banach函数空间的定义。我们宣传Zaanen和Luxemburg的原始定义，它没有其他后续定义引入的各种问题。此外，我们在拟Banach函数空间的集合中证明了Banach函数空间的一些众所周知的基本性质。

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 function spaces done right

In this survey, we discuss the definition of a (quasi-)Banach function space. We advertise the original definition by Zaanen and Luxemburg, which does not have various issues introduced by other, subsequent definitions. Moreover, we prove versions of well-known basic properties of Banach function spaces in the setting of quasi-Banach function spaces.

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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.