Generalization of some commutative perturbation results
Zakariae Aznay, Abdelmalek Ouahab, Hassan Zariouh
TL;DR
This paper explores how certain spectra remain stable under weaker algebraic conditions than commutativity, broadening the scope of known perturbation results in spectral theory.
Contribution
It generalizes many existing commutative perturbation results by relaxing algebraic conditions for spectral stability.
Findings
Spectral stability under weaker algebraic conditions
Generalization of known perturbation theorems
Broader applicability in spectral analysis
Abstract
We study the stability of certain spectra under some algebraic conditions weaker than the commutativity and we generalize many known commutative perturbation results.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum chaos and dynamical systems · Advanced Algebra and Geometry