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Publié par
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Abstract
2000 Mathematics Subject Classiflcation:
Keywords:
1 Introduction
oandezis1stagep,ortedS.opRicunitaryhardev2ersityGranand,R.self-adjoinTiedraerators.deself-adjoinAldecoaextension1attemptz11003041CamilleFyacultadQuande[4,Matemtoaticalenas,somePonticiaofUniversidadasCatHolichaUdeAChile,oftenAhasv.ortedVicuC10E01.~naemMackennafor4860,zSantiago,CienChiley2tGrandaduatethisSchomethoolanofonePurandeourandtedAppliedsd[20,SciencIfes,aUniversityexistsofATsukubAUa,the1-1-1conTtennoevdai,ofTsukube,a,theoryIbosedarauthorsakiF305-8571,theJapvanLyE-mails:1;cfernand@mat.puc.cl,duricharVilleurbanne-Cedex,d@math.univ-lyon1.fr,JapanrtieSciencedrsciena@mat.puc.clyyWP07-027-FeMagneticpresenttdevanforimpro20,vtherein).edaimverersioncommofforcommuputatorymethotodshedforopunitarypresenopUperatorswledge,underwhoarstwutatoreakunitaryregularitoriginaly2.3.2]condition.wsOnceisappliederatortoertaifunitarybopoperator,HtheUmethoisde,tectrumypicallypurelyleadsuous.tothistheopabsencehofinsingularlythisconoundednesstinouousaspextendectrumthisandeento[4].thethis,localynitenessGranofbpGranoinOntfromspeectrum.UnivLargeLyfamiliesUMR5208,of43lonocally1918,smorance.othyopcieteratorsPromotionareandalsots-in-Aidexhibited.ResearcHalfortedofFthe1090008,papIniciativerMilenioisTheorydedicatedandtoandapplications,ECOS/CONICYTand1aofspelopmenecial(seeemphasizeexampleis16,put21]onreferencestheAccordinglystudytheofofcopapcyclesisoextendvutatorerdsirrationalunitaryrotations.eratorsIttoisoptimalitapparenequivtlytthetherstreactimeforthattcommerators,utatortomethotdsapplications.aretoappliedknoinitthePutnamconpresentexttheofapplicationrotationcommalgebras,methoforfortheopstudyHisofresulttheirThm.generators.readsernfolloF:C.Ueratorsaopop81Q10,in47A35,Hilb47B47.spaceunitaryandforthereUnitaryaopoundederators,tsperatorectralinanalysis,sucMourrethattheory,Acostrictlycyclesositivothenvsperofrotations.isdsabsolutelymethotinutatorAnCommofonlystatemenoundedtoalsoeratorstedwhicthatareHosemi-bItisispresencommonlyinacceptedreference.thatwcommer,utatorapplicationsmethoendsassumption(insemi-btheissensetoofrestrictivE.andMourre)rstaretovtheerywithoutecienconditiontbtopropolsinforTstudyingdosptheectralhadpropSuppertiesboftheself-adjoinondecytttopanderators.yTheseECOS/CONICYTtecthnicsyareleaweellUnivdevelopdeedon;andersithaevoneCNRS,bInstituteenJordan,formblvdulated11withvabrehighF-69622degreeFofSuppoptimalitbytheinSo[3].yOnthetheofother(JSPS)hand,bcorresp\Granondingforapproactichesh".forSuppthebstudytheofondecytunitarytopberatorstheexistabutticaareICMm\MathematicalucofhtumlessClassicalnSystems"umerousbandthestillGranatC10E01.apreliminary2 Commutator methods for unitary operators
2.1 Regularity with respect to
B B
B
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