Heat kernel estimates and the relative compactness of perturbations by potentials

Jochen Brüning, Batu Güneysu

We consider a self-adjoint non-negative operator $H$ in a Hilbert space ${\mathsf{L}}^2(X,\mathrm{d}\mu )$. We assume that the semigroup $({\mathrm{e}}^{-tH}{)}_{t>0}$ is defined by an integr…