6533b7d6fe1ef96bd12670cc

RESEARCH PRODUCT

Commutators, C0-semigroups and resolvent estimates

Jacob Schach MøllerChristian GérardVladimir Georgescu

subject

Spectral theoryC0- semigroupsSemigroupOperator (physics)Mathematical analysisSpectrum (functional analysis)Commutator (electric)Resolvent formalismMourre estimatelaw.inventionResolvent estimateslawHermitian adjointPositive commutatorsBoundary values of resolvent familiesConjugate operatorVirial theoremAnalysisMathematicsResolvent

description

Abstract We study the existence and the continuity properties of the boundary values on the real axis of the resolvent of a self-adjoint operator H in the framework of the conjugate operator method initiated by Mourre. We allow the conjugate operator A to be the generator of a C 0 -semigroup (finer estimates require A to be maximal symmetric) and we consider situations where the first commutator [ H ,i A ] is not comparable to H . The applications include the spectral theory of zero mass quantum field models.

yearjournalcountryeditionlanguage
2004-11-01Journal of Functional Analysis
10.1016/j.jfa.2004.03.004http://dx.doi.org/10.1016/j.jfa.2004.03.004