Fredholm Perturbation of Spectra of $2\times 2$ Upper Triangular Matrix
Functional Analysis
2017-11-09 v1
Abstract
As we knew, study the perturbation theory of spectra of operator is a very important project in mathematics physics, in particular, in quantum mechanics. In this paper, we characterize the Fredholm perturbation for the Weyl spectrum, essential spectrum, spectrum, left spectrum, right spectrum, lower semi-Fredholm spectrum, upper semi-Weyl spectrum and lower semi-Weyl spectrum of upper triangular operator matrix M_{C}=({cc} A&C 0&B).
Keywords
Cite
@article{arxiv.0906.5056,
title = {Fredholm Perturbation of Spectra of $2\times 2$ Upper Triangular Matrix},
author = {Zhang Shifang and Zhong Huaijie and Wu Junde},
journal= {arXiv preprint arXiv:0906.5056},
year = {2017}
}