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Journal d'Analyse Mathématique

, Volume 128, Issue 1, pp 179–190 | Cite as

The Gohberg Lemma, compactness, and essential spectrum of operators on compact Lie groups

  • Aparajita DasguptaEmail author
  • Michael Ruzhansky
Open Access
Article

Abstract

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.

Keywords

Compact Operator Fredholm Operator Complex Banach Space Matrix Quantization Matrix Symbol 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University Magnes Press 2016

Authors and Affiliations

  1. 1.Department of MathematicsImperial College LondonLondonUK

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