Upper semi-Weyl and upper semi-Browder spectra of unbounded upper triangular operator matrices
Spectral Theory
2018-11-13 v1
Abstract
In this paper, we study the unbounded upper triangular operator matrix with diagonal domain. Some sufficient and necessary conditions are given under which upper semi-Weyl spectrum (resp. upper semi-Browder spectrum) of such operator matrix is equal to the union of the upper semi-Weyl spectra (resp. the upper semi-Browder spectra) of its diagonal entries. As an application, the corresponding spectral properties of Hamiltonian operator matrix are obtained.
Keywords
Cite
@article{arxiv.1811.04181,
title = {Upper semi-Weyl and upper semi-Browder spectra of unbounded upper triangular operator matrices},
author = {Wurichaihu Bai and Qingmei Bai and Alatancang Chen},
journal= {arXiv preprint arXiv:1811.04181},
year = {2018}
}
Comments
8 pages