1.IntroductionAHilbertmoduleisaHilbertspaceHwhichisalsoamoduleoverafunctionalgebraA,i.e.,thereisanassociativebilinearmultiplicationAxHHwhichiscontinuousinbothvariables.ThefirstsystematicstudyofHilbertmodulesappearedinthemonographofDouglasandPoulsen[...