Journal
JOURNAL D ANALYSE MATHEMATIQUE
Volume 128, Issue -, Pages 179-190Publisher
SPRINGER
DOI: 10.1007/s11854-016-0005-0
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Funding
- Grace-Chisholm Young Fellowship of the London Mathematical Society
- EPSRC Leadership Fellowship [EP/G007233/1]
- EPSRC [EP/K039407/1]
- EPSRC [EP/G007233/1, EP/K039407/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/G007233/1, EP/K039407/1] Funding Source: researchfish
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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.
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