Perturbations of Gibbs semigroups and the non-selfadjoint harmonic oscillator

Lyonell Boulton

Let $T$ be the generator of a $C_0$-semigroup $e^{-Tt}$ which is of finite trace for all $t>0$ (a Gibbs semigroup). Let $A$ be another closed operator, $T$-bounded with $T$-bound e…