Mathematical Sciences: Cotype of Operators Between Banach Spaces and Rademacher Processes

蒙哥马利-史密斯教授将对 从C（K）到任意的算子的余型2常数的研究 Banach空间 这是为了填补已经存在的空白， 已知cotype 2如何与C（K）中的运算符相关， 到目前为止，只处理了通过空间分解的算子， 同型2型。 这项研究将涉及研究拉德马赫 流程. 这是一个新的，但非常自然的地方。 它需要为 它的出发点是研究得很好的高斯过程。 这项研究是在两个领域的接口：概率 和无限维空间上的算子理论。 性能 的运营商（无限维矩阵）研究使用 从概率的角度来思考，反过来， 这些操作符导致新的和有趣的问题，在纯 概率

Professor Montgomery-Smith will conduct research into the study of the cotype 2 constant of operators from C(K) to any Banach space. This is intended to fill a gap on what is already known about how cotype 2 relates to operators from C(K) which has so far dealt only with operators which factor through a space of cotype 2. This research will involve the study of Rademacher processes. This is a recent but very natural area. It takes as its starting point the well studied Gaussian processes. This research is at the interface of two fields: probability and operator theory on infinite dimensional spaces. Properties of operators (infinite dimensional matrices) are studied using ideas from probability and conversely the quest to understand these operators leads to new and interesting questions in pure probability.