Stability for the “essentially Kato” property for commuting tuples of bounded operators

Boulbeba Abdelmoumen; Hafedh Dammak; Sonia Yengui

doi:10.1216/rmj.2021.51.761

Abstract

We investigate the perturbation theory of essentially Kato $n$ -tuples of commuting operators. Moreover, we give quantitative stability results for the generalized range and generalized kernel. This study has lead to a generalization of some well known results for operators.

Citation

Download Citation

Boulbeba Abdelmoumen. Hafedh Dammak. Sonia Yengui. "Stability for the “essentially Kato” property for commuting tuples of bounded operators." Rocky Mountain J. Math. 51 (3) 761 - 770, June 2021. https://doi.org/10.1216/rmj.2021.51.761

Information

Received: 23 October 2019; Revised: 5 October 2020; Accepted: 30 November 2020; Published: June 2021

First available in Project Euclid: 11 August 2021

MathSciNet: MR4302559

zbMATH: 07393800

Digital Object Identifier: 10.1216/rmj.2021.51.761

Subjects:

Primary: 47A15 , 47A53 , 47A55

Keywords: Fredholm operator , invariant subspaces , Perturbation theory

Abstract

Citation

Information

KEYWORDS/PHRASES

PUBLICATION TITLE:

PUBLICATION YEARS