块算子矩阵的Fredholm性与Weyl性
Fredholmness and Weylness of block operator matrices
AI总结：
本文在无限维希尔伯特空间中刻画任意维度n的上三角算子矩阵的Fredholm性与Weyl性，推广了已有结果至任意维度n且不依赖可分性假设，改进了相关扰动结果。
摘要：
本文旨在刻画任意维度n的上三角算子矩阵的Fredholm性与Weyl性。我们在无限维希尔伯特空间的框架下给出了多种刻画结果，从而将Cao X.等人（2006、2005）和Zhang等人（2012）的部分已知结果推广到任意维度n的情形。我们在不使用可分性假设的情况下提出结果，从而改进了Wu X.等人（2020）的扰动结果。
英文摘要：
This paper has aim to characterize Fredholmness and Weylness of upper triangular operator matrices having arbitrary dimension n. We present various characterization results in the setting of infinite dimensional Hilbert spaces, thus extending some known results from Cao X. et al. (2006, 2005) and Zhang et al. (2012) to the case of arbitrary dimension n. We pose our results without using separability assumption, thus improving perturbation results from Wu X. et al. (2020).
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
