Mathematical Sciences: Problems in Banach Spaces

卡萨扎教授将对几个问题进行研究 在Banach空间理论中。 （一）独特性 有限维无条件对称结构 空间，（ii）各种形式的近似属性，以及 (iii)Banach空间的存在性。 该奖项将支持巴拿赫几何的研究 空间. 在有限维中，所有向量空间本质上都是 一样的 但在无限维的情况下， 但在这里，情况远非如此。 Banach空间 具有附加结构的无限维空间 通过改变点之间的距离的概念， 空间 这样的空间在数学中有着广泛的应用， 纯粹和应用。

Professor Casazza will conduct research on several problems in the theory of Banach spaces. They involve (i) uniqueness of unconditional and symmetric structures in finite dimensional spaces, (ii) various forms of the Approximation Property, and (iii) the existence of prime Banach spaces. This award will support research in the geometry of Banach spaces. In finite dimensions, all vector spaces are essentially the same. But in the infinite dimensional situation primarily of interest here, this is far from the case. Banach spaces are infinite dimensional spaces with the additional structure introduced by varying notions of distance between points in the space. Such spaces have wide application in mathematics, both pure and applied.