Mathematical Sciences: Structure of Toeplitz and Composition Operators

Cowen教授将研究有界线性的结构 哈代空间、伯格曼空间及相关空间上的算子 单位圆盘上的解析函数。 他将继续他的 复合算子、Toeplitz算子和 相关运营商。 他的调查将与 特别强调为双方提供研究项目 研究生和本科生。 考恩教授的研究涉及希尔伯特理论 太空操作员 这些物体可以被认为是无限的 复数的矩阵 它们出现在几乎所有的分支， 纯数学和应用数学。 这里正在进行的研究是 试图了解和分类这些家庭的某些 运营商

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.