@article{42125fe87b6c4693a838dcd4ed6a2134,
title = "Perturbation theory for the socle in Banach algebras",
abstract = "In this paper, we will give a characterization of the socle of a semisimple Banach algebra by perturbation of full spectrum. That is, an element, saying x, lies in the socle if and only if for every element in the Banach algebra, the change under its perturbation (plus x) of full spectrum is finite.",
keywords = "Finite spectrum, Full spectrum, Perturbation theory, Socle",
author = "Peng Cao",
note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",
year = "2019",
month = apr,
day = "1",
doi = "10.1016/j.jmaa.2018.11.068",
language = "English",
volume = "472",
pages = "1132--1135",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",
}