Perturbations not necessarily commutative
Zakariae Aznay, Abdelmalek Ouahab, Hassan Zariouh
TL;DR
This paper explores how certain spectral properties are preserved under non-commutative perturbations, extending previous results that were limited to commuting operators.
Contribution
It generalizes existing spectral preservation results from commuting to non-commutative operator perturbations.
Findings
Spectral preservation under non-commutative perturbations demonstrated
Generalization of commuting operator results achieved
New theoretical framework for non-commutative spectral analysis
Abstract
This paper treatises the preservation of some spectra under perturbations not necessarily commutative and generalizes several results which have been proved in the case of commuting operators.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Holomorphic and Operator Theory · Matrix Theory and Algorithms