Mathematical Sciences: Research Group in Banach Spaces and Related Areas

该奖项的目的是支持在密苏里大学举行的关于泛函分析、谐波分析和概率论相互作用的会议。会议纪要将出版。会议的核心主题是巴拿赫空间理论，这是试图将三维欧几里得（即普通）空间的结构推广到无限多维的数学部分。巴拿赫空间中距离函数的公理比欧几里得距离的公理更宽松（例如，“平行四边形定律”不需要成立），因此，巴拿赫空间的“几何”可能相当奇特。该领域的研究主要集中在Banach空间的结构理论研究上。

The purpose of this award is to support a conference at the University of Missouri on the interaction of Functional Analysis, Harmonic Analysis, and Probability Theory. Proceedings of the conference will be published. The core topic of the conference is Banach space theory, which is that part of mathematics that attempts to generalize to infinitely many dimensions the structure of 3-dimensional Euclidean (i.e.ordinary) space. The axioms for the distance function in a Banach space are more relaxed than those for Euclidean distance (For example, the "parallelogram law" is not required to hold.), and as a result, the "geometry" of a Banach space can be quite exotic. Much of the research in this area concerns studying the structure theory of Banach spaces.