数学杂志2024，Vol.44Issue(4)：358-368,11.
分块对角算子矩阵在上三角扰动下的精细拟谱和固有拟谱
THE METICULOUS PSEUDO-SPECTRA AND INTRINSIC PSEUDO-SPECTRA FOR 2×2 DIAGONAL BLOCK OPERATOR MATRICES UNDER THE BOUNDED PERTURBATION OF UPPER-TRIANGULAR OPERATOR MATRICES
摘要
Abstract
In this paper,we study the problem of meticulous pseudo-spectra and intrinsic pseudo-spectra for the diagonal block operator matrices under the bounded perturbation of upper-triangular operator matrices.By means of space decomposition technique and perturba-tion principle of operators,we extend the spectral result to pseudo-spectrum and obtain the e-injectivity and its pseudo-residual spectrum and pseudo-continuous spectrum for the diagonal block operator matrices with the bounded perturbation of upper-triangular operator matrices.Finally,the intrinsic pseudo-point spectrum,intrinsic pseudo-residual spectrum and intrinsic pseudo-continuous spectrum for the diagonal block operator matrices in the case of the bounded perturbation of upper-triangular operator matrices are described.关键词
算子矩阵/拟点谱/拟剩余谱/拟连续谱/固有拟谱Key words
operator matrices/pseudo-point spectrum/pseudo-residual spectrum/pseudo-continuous spectrum/innate pseudo-spectrum分类
数理科学引用本文复制引用
申润拴,侯国林..分块对角算子矩阵在上三角扰动下的精细拟谱和固有拟谱[J].数学杂志,2024,44(4):358-368,11.基金项目
国家自然科学基金(11861048,12261064)资助 （11861048,12261064）
内蒙古自然科学基金(2021MS01004)资助. （2021MS01004）
