Non-archimedean Banach spaces of universal disposition

IF 0.6 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2023-03-31 DOI:10.1007/s10476-023-0214-6

A. Kubzdela, C. Perez-Garcia

引用次数: 0

Abstract

A space of universal disposition is a Banach space which has certain natural extension properties for isometric embeddings of Banach spaces belonging to a specific class. We study spaces of universal disposition for non-archimedean Banach spaces. In particular, we introduce the classification of non-archimedean Banach spaces depending on the cardinality of maximal orthogonal sets, which can be viewed as a kind of special density and characterize spaces of universal disposition for each distinguished class.

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泛配置的非阿基米德Banach空间

泛配置空间是一个Banach空间，它对于属于特定类的Banach空间的等距嵌入具有一定的自然可拓性质。我们研究了非阿基米德Banach空间的普遍配置空间。特别地，我们根据极大正交集的基数引入了非阿基米德Banach空间的分类，极大正交集可以看作是一种特殊密度，并刻画了每个可分辨类的普遍配置空间。

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

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.