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arXiv · 2006.03598

A Class of n-Tuples with Finite Ascent and Peturbations

Boulbeba Abdelmoumen·Hafedh Dammak·Sonia Yengui
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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.

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Boulbeba Abdelmoumen, Hafedh Dammak, Sonia Yengui. 2020-06-05. A Class of n-Tuples with Finite Ascent and Peturbations. https://arxiv.org/abs/2006.03598

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