Sectorial Hamiltonians without zero resonance in one dimension

Vladimir Georgiev, Anna Rita Giammetta

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)


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 ≤ ∞.

Original languageEnglish
Title of host publicationContemporary Mathematics
PublisherAmerican Mathematical Society
Number of pages13
Publication statusPublished - 2016
Externally publishedYes

Publication series

NameContemporary Mathematics
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627


  • Sectorial operators
  • Zero resonances

ASJC Scopus subject areas

  • General Mathematics


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