@article{2c96e50221eb461c87be739c3855b4e2,
title = "Perturbation theory for quasinilpotents in Banach algebras",
abstract = "In this paper, we prove the following result by perturbation technique. If q is a quasinilpotent element of a Banach algebra and spectrum of p + q for any other quasinilpotent p contains at most n values then qn = 0. Applications to C* algebras are given.",
keywords = "Finite spectrum, Perturbation theory, Quasinilpotent elements, Socle",
author = "Xin Wang and Peng Cao",
note = "Publisher Copyright: {\textcopyright} 2020 by the authors.",
year = "2020",
month = jul,
doi = "10.3390/math8071163",
language = "English",
volume = "8",
journal = "Mathematics",
issn = "2227-7390",
publisher = "Multidisciplinary Digital Publishing Institute (MDPI)",
number = "7",
}