Subspace perturbation problems for linear operators

线性算子的子空间扰动问题

• 批准号: 254425963
• 负责人: Professor Dr. Sergio Albeverio
• 金额: --
• 依托单位: Institut für Angewandte Mathematik (IAM)
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2014
• 资助国家: 德国
• 起止时间: 2013-12-31 至 2017-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/254425963?language=en
• 关键词: Subspace; perturbation; problems; linear; operators

The project is aimed at studying the perturbation problem for invariant subspaces of linear operators, with emphasis on the case of off-diagonal perturbations. Main goal of the project is to obtain (sharp) norm estimates on the operator angles between the spectral subspaces associated with isolated parts of the spectrum of the perturbed and unperturbed operators. Another goal is to establish new and more precise sufficient conditions for the existence of solutions to the related operator Riccati equations.

该项目旨在研究线性算子不变子空间的扰动问题，重点是非对角线扰动的情况。该项目的主要目标是获得与扰动和未扰动算子频谱的孤立部分相关的谱子空间之间的算子角度的（清晰）范数估计。另一个目标是为相关算子 Riccati 方程的解的存在性建立新的且更精确的充分条件。