数学杂志2025，Vol.45Issue(4)：329-336,8.
无界对角算子矩阵的拟谱等式
UNBOUNDED DIAGONAL OPERATOR MATRIX'S PSEUDO-SPECTRAL EQUATION
摘要
Abstract
This paper studies the quasi-spectrum characteristics of 2 × 2 unbounded diagonal operator matrices under the perturbation of the main diagonal.First,the pseudo-spectral behavior of the matrices under diagonal perturbations is analyzed in detail,and its pseudo-spectral properties are precisely described.This study reveals the complexity of pseudospectra and constructs specific examples to illustrate this point.In addition,by using the information of the internal element,the results of four types of quasi-point spectra and two types of quasi-residual spectra,as well as the detailed quasi-spectrum equalities,were further obtained.,which provided a reference for further research on pseudo-spectra.关键词
无界算子矩阵/拟谱特性/拟点谱/拟剩余谱Key words
unbounded operator matrix/Pseudo-spectral properties/Pseudo-point spec-trum/Pseudo-residual spectrum分类
数理科学引用本文复制引用
吴淑珍,侯国林..无界对角算子矩阵的拟谱等式[J].数学杂志,2025,45(4):329-336,8.基金项目
国家自然科学基金(11861048)和内蒙古自然科学基金(2021MS01004)基金资助. （11861048）
