Julio Delgado (Imperial College)
Spectral properties on compact groups
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.