Perturbations not necessarily commutative

2022/09/02 by Zakariae Aznay, Aznay, Zakariae, Abdelmalek Ouahab +3
Computer Science · Mathematics · #47A10 #47A11 #47A53 #47A55 #Commutative Algebra (math.AC) #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Primary 13AXX #Rings and Algebras (math.RA) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2209.01086

openalex publication_date 2022/09/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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