Mathematical Sciences: Structure of Toeplitz and Composition Operators

Cowen教授将研究单位圆盘上Hardy空间、Bergman空间以及解析函数的相关空间上有界线性算子的结构。他将继续研究组合算子、Toeplitz算子和相关算子。他的调查将特别强调为研究生和本科生提供研究项目。考恩教授的研究涉及希尔伯特空间算子理论。这些对象可以被认为是无限的复数矩阵。它们几乎出现在纯数学和应用数学的所有分支中。这里所做的研究是试图理解和分类这些操作符的某些族。

Professor Cowen will study the structure of bounded linear operator on the Hardy space, the Bergman space, and related spaces of analytic functions on the unit disk. He will continue his investigations of composition operators, Toeplitz operators, and related operators. His investigations will be carried out with particular emphasis on providing research projects for both graduate and undergraduate students. Professor Cowen's research involves the theory of Hilbert space operators. These objects can be thought of as infinite matrices of complex numbers. They occur in almost all branches of pure and applied mathematics. The research being done here is an attempt to understand and classify certain families of these operators.