报告人：朱森（吉林大学）

时间：2023年10月26日 15:30 -

腾讯会议ID：617 542 147

摘要：The classification of the reducing subspaces of analytic Toeplitz operators on the classical Hardy space $H^2$ was completed in the 1970s due to work by Cowen and by Thomson. As for the reducing subspaces of non-analytic Toeplitz operators, to the best of our knowledge, there is no result in the literature so far.

We initiate to describe the reducing subspaces of Toeplitz operators via an approximation approach, showing that in the class of Toeplitz operators with continuous symbols those irreducible ones constitute a dense $G_\delta$. Our result depends on a finite-dimensional approximation result, which asserts that in the class of $n\times n$ Toeplitz matrices those irreducible ones constitute an open dense subset.

简介：朱森，吉林大学数学学院教授，博士生导师. 主持国家自然科学基金青年、面上等项目. 近年来主要从事线性算子的复对称性、随机理论等方面的研究，在 J. Funct. Anal., J. London Math. Soc., Math. Ann., Math. Z, Sci. China Math., Trans. AMS等杂志发表系列论文.

邀请人：秦越石、王奕、王子鹏、晏福刚、赵显锋

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