Julio Delgado (Imperial College)

Spectral properties on compact groups

Abstract: Given a compact topological group G, in this talk we first present a characterisation of Schatten ideals of operators on L^2(G) and some applications to the analysis of differential operators when G is a compact Lie group. In the second part we consider nuclear (Grothendieck) operators on L^p(G) spaces and establish sufficient conditions for the membership to those ideals. We also relate our results with the Grothendieck-Lidskii trace formula.