Operators on Banach Spaces

Banach 空间上的算子

• 批准号: 2598351
• 金额: --
• 依托单位: Lancaster University
• 依托单位国家: 英国
• 项目类别: Studentship
• 财政年份: 2021
• 资助国家: 英国
• 起止时间: 2021 至 无数据
• 项目状态: 未结题
• 来源: https://gtr.ukri.org/projects?ref=studentship-2598351
• 关键词: Operators; Banach; Spaces

"The project will investigate bounded operators acting on Baernstein's Banach space. This Banach space can be viewed as a stepping stone, or link, between the Banach spaces of Schreier and Tsirelson. While the operators on the latter spaces have been investigated in significant detail recently, much less is known about Baernstein's space. The project will address that by seeking to develop analogues for Baernstein's space of the results known for the Scheier and Tsirelson spaces, and highlight the subtle differences between these spaces."

这个项目将研究作用在Baernstein的Banach空间上的有界算子。这个Banach空间可以被视为Schreier和Tsirelson的Banach空间之间的垫脚石或纽带。虽然最近对后一种空间上的算子进行了非常详细的研究，但对Baernstein空间的了解要少得多。该项目将通过寻求开发类似于Baernstein空间的Scheier和Tsirelson空间的结果来解决这个问题，并突出这两个空间之间的微妙差异。