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. As a consequence, we obtain 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.
CITATION STYLE
Dasgupta, A., & Ruzhansky, M. (2016). The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups. Journal d’Analyse Mathematique, 128(1), 179–190. https://doi.org/10.1007/s11854-016-0005-0
Mendeley helps you to discover research relevant for your work.