Title: Gohberg Lemma, Compactness and Essential Spectrum of Operators on Compact Lie Groups
Speaker: Aparajita Dasgupta (EPFL, Lausanne)
Date: 20 August 2015
Time: 11 am
Venue: LH-1

In this talk 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. (This is a joint work with Professor Michael Ruzhansky.)

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