@article{Bai2024, 
author = {Qingmei Bai and Alatancang Chen and Jingying Gao},
title = {Browder spectra of closed upper triangular operator matrices},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {2},
pages = {5110-5121},
keywords = {closed operator, operator matrix, Browder spectrum, spectrum},
url = {https://www.sciopen.com/article/10.3934/math.2024248},
doi = {10.3934/math.2024248},
abstract = {Let        T          B        =      [                            A                          B                                      0                          D                      ]   be an unbounded upper operator matrix with diagonal domain, acting in        H    ⊕      K  , where        H   and        K   are Hilbert spaces. In this paper, some sufficient and necessary conditions are characterized under which        T          B       is Browder (resp., invertible) for some closable operator    B with        D    (  B  )  ⊃      D    (  D  ). Further, a sufficient and necessary condition is given under which the Browder spectrum (resp., spectrum) of        T          B       coincides with the union of the Browder spectrum (resp., spectrum) of its diagonal entries.}
}