On the ascent-descent spectrum
Functional Analysis
2018-08-27 v1
Abstract
We establish the various properties as well as diverse relations of the ascent and descent spectra for bounded linear operators. We specially focus on the theory of subspectrum. Furthermore, we construct a new concept of convergence for such spectra.
Cite
@article{arxiv.1808.08045,
title = {On the ascent-descent spectrum},
author = {Nassim Athmouni and Mondher Damak and Chiraz Jendoubi},
journal= {arXiv preprint arXiv:1808.08045},
year = {2018}
}