Overcomplete sets in non-separable Banach spaces,Proceedings of the American Mathematical Society

当前位置： X-MOL 学术 › Proc. Am. Math. Soc. › 论文详情

Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)

Overcomplete sets in non-separable Banach spaces
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-11-25 , DOI: 10.1090/proc/15213
Tommaso Russo , Jacopo Somaglia

Abstract:We introduce and study the notion of overcomplete sets in a Banach space that subsumes and extends the classical concept of overcomplete sequence in a (separable) Banach space. We give existence and non-existence results of overcomplete sets for a wide class of (non-separable) Banach spaces and we study to which extent properties of overcomplete sequences are retained by every overcomplete set.

中文翻译：

不可分Banach空间中的超完备集

摘要：我们引入并研究了Banach空间中超完备集的概念，该概念包含并扩展了（可分离的）Banach空间中超完备序列的经典概念。我们给出了广泛类（不可分离）Banach空间中超完备集的存在和不存在结果，并研究了每个超完备集在多大程度上保留了超完备序列的属性。

更新日期：2021-01-11

点击分享查看原文

点击收藏

公开下载

阅读更多本刊最新论文本刊介绍/投稿指南11