Banach序列空间上的满射等距：综述

IF 0.3 Q4 MATHEMATICS

Concrete Operators Pub Date : 2021-10-22 DOI:10.1515/conop-2022-0125

Leandro Antunes, K. Beanland

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引用次数: 3

摘要

摘要本文给出了有关Banach序列空间上满射等距的几个结果。我们的调查包括经典空间的这些特征的完整证明，以及组合巴拿赫空间和tsirelson型空间的最新结果。在此过程中，我们提出了许多与各种Banach空间的满射等距群结构相关的开放问题。

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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Surjective isometries on Banach sequence spaces: A survey

Abstract In this survey, we present several results related to characterizing the surjective isometries on Banach sequence spaces. Our survey includes full proofs of these characterizations for the classical spaces as well as more recent results for combinatorial Banach spaces and Tsirelson-type spaces. Along the way, we pose many open problems related to the structure of the group of surjective isometries for various Banach spaces.

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来源期刊

Concrete Operators MATHEMATICS-

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

22 weeks