A Class of n-Tuples with Finite Ascent and Peturbations
Functional Analysis
2020-06-09 v1 Operator Algebras
Abstract
In this paper, we are interested to study the stability of the ascent of a mutually commuting n-tuple T submitted to a perturbation by an n-tuple S which commutes mutually with T. This study lead us to generalize some well known results for operators and introduce a class of n-tuples in which we obtain the stability of the ascent of T.
Cite
@article{arxiv.2006.03598,
title = {A Class of n-Tuples with Finite Ascent and Peturbations},
author = {Boulbeba Abdelmoumen and Hafedh Dammak and Sonia Yengui},
journal= {arXiv preprint arXiv:2006.03598},
year = {2020}
}
Comments
12 pages