On the B-discrete spectrum
Spectral Theory
2019-07-19 v4
Abstract
In this paper, we introduce the B-discrete spectrum of an unbounded closed operator and we prove that a closed operator has a purely B-discrete spectrum if and only if it has a meromorphic resolvent. After that, we study the stability of the B-discrete spectrum under several type of perturbations and we establish that two closed invertible linear operators having quasisimilar totally paranormal inverses have equal spectra and B-discrete spectra.
Cite
@article{arxiv.1606.03712,
title = {On the B-discrete spectrum},
author = {Mohammed Berkani},
journal= {arXiv preprint arXiv:1606.03712},
year = {2019}
}
Comments
10 pages