复对称算子及相关算子类研究进展  

Research Progress of Complex Symmetric Operatorsand Related Operator Classes

作　　者：赵佳音 朱森 ZHAO Jiayin;ZHU Sen(School of Mathematics and Statistics,Changchun University of Science and Technology,Changchun 130022,China;College of Mathematics,Jilin University,Changchun 130012,China)

机构地区：[1]长春理工大学数学与统计学院,长春130022 [2]吉林大学数学学院,长春130012

出　　处：《吉林大学学报(理学版)》2025年第1期47-59,共13页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:12171195,12101077).

摘　　要：复对称算子是指Hilbert空间上具有对称矩阵表示的线性算子.综述近年来复对称算子的主要研究进展及若干公开问题,包括特殊复对称算子、约化子空间、范数闭包问题和代数性质等.A complex symmetric operator refers to a linear operator with a symmetric matrix representation on a Hilbert space.We review the main research advances and several open problems of complex symmetric operators in recent years,involving special complex symmetric operators,reducing subspaces,the norm closure problem,and algebraic properties and so on.

关 键 词：复对称算子 斜对称算子 TOEPLITZ算子 截断Toeplitz算子 加权移位 部分等距 约化子空间 

分 类 号：O177.1[理学—数学]