Abstract.
Mourre’s commutator theory is a powerful tool to study the continuous spectrum of self-adjoint operators and to develop scattering theory. We propose a new approach of its main result, namely the derivation of the limiting absorption principle (LAP) from a so called Mourre estimate. We provide a new interpretation of this result.
Similar content being viewed by others
Author information
Authors and Affiliations
Corresponding author
Additional information
Communicated by Aurelian Gheondea.
Received: September 20, 2006. Revised: February 1, 2007.
Rights and permissions
About this article
Cite this article
Golénia, S., Jecko, T. A New Look at Mourre’s Commutator Theory. Complex anal.oper. theory 1, 399–422 (2007). https://doi.org/10.1007/s11785-007-0011-4
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11785-007-0011-4