Mathematical Sciences: Presidential Young Investigator

这个总统研究者奖将支持一个广泛的数学研究计划，在算子理论，这可能被认为是线性代数在无限多个维度。这门学科最初的推动力来自量子力学，今天在系统理论和控制理论的应用领域正在扩大。Bercovici教授对倾斜Toeplitz算子的研究将丰富这一重要联系。其他研究方向包括拟三角算子的研究，以及算子不变子空间结构的对偶代数方法的发展。

This Presidential Investigator Award will support a broad program of mathematical research in operator theory, which may be thought of as linear algebra in infinitely many dimensions. The original impetus for this subject came from quantum mechanics, and today there is an expanding area of applications to systems theory and control theory. Professor Bercovici's work on skew Toeplitz operators will enrich this important connection. Other research directions to be pursued include the study of quasitriangular operators, and the development of the dual algebra approach to the structure of invariant subspaces for operators.