%0 Journal Article
%T Gohberg lemma, compactness, and essential spectrum of operators on compact Lie groups
%A Aparajita Dasgupta
%A Michael Ruzhansky
%J Mathematics
%D 2013
%I arXiv
%X 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.
%U http://arxiv.org/abs/1306.0041v1