Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups
Functional Analysis
2016-04-05 v1 Spectral Theory
Abstract
In this paper we prove a version of the Gohberg lemma on compact Lie groups giving an estimate from below for the distance from a given operator to the set of compact operators on compact Lie groups. As a consequence, we prove several results on bounds for the essential spectrum and a criterion for an operator to be compact. The conditions are given in terms of the matrix-valued symbols of operators.
Keywords
Cite
@article{arxiv.1306.0041,
title = {Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups},
author = {Aparajita Dasgupta and Michael Ruzhansky},
journal= {arXiv preprint arXiv:1306.0041},
year = {2016}
}
Comments
13 pages