Generalization of some commutative perturbation results

2022/07/18 by Aznay, Zakariae, Ouahab, Abdelmalek, Zariouh, Hassan
#13AXX #47A10 #47A11 #47A53 #47A55 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2207.08577

Abstract

We study the stability of certain spectra under some algebraic conditions weaker than the commutativity and we generalize many known commutative perturbation results.

Related

• Perturbations not necessarily commutative
• Relative Perturbation Bounds for the Joint Spectrum of Commuting Tuple of Matrices
• Spectra Originated from Fredholm Theory and Browder's Theorem
• Non-symmetric perturbations of self-adjoint operators
• Property (UW_E) and Consistent invertibility