We consider a 1-D Laplace operator with short range potential W (x) and study sectorial properties and resolvent estimates associated with this perturbed Laplacian. It is shown that non resonance assumption at zero and sufficiently fast decay of the potential at infinity guarantee that the Hamiltonian is a sectorial operator in Lp for 1 < p ≤ ∞.
|Title of host publication||Contemporary Mathematics|
|Publisher||American Mathematical Society|
|Number of pages||13|
|Publication status||Published - 2016|
- Sectorial operators
- Zero resonances
ASJC Scopus subject areas