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1、SpringerMonographsinMathematicsSpringerNewYorkBerlinHeidelbergHongKongLondonMilanParisTokyoL.P.LebedevLI.VorovichFunctionalAnalysisinMechanicsSpringerL.P.LebedevI.I.VorovichDepartamentodeMatema´ticas(deceased)UniversidadNacionaldeColombiaBogota´Colombialeb
2、edev@uolpremium.net.coMathematicsSubjectClassification(2000):46-01,35-01,74-01,76-01,74Kxx,35Dxx,35QxxLibraryofCongressCataloging-in-PublicationDataLebedev,L.PFunctionalanalysisinmechanics/L.P.Lebedev,I.I.Vorovich.p.cm.—(Springermonographsinmathematics)Inc
3、ludesbibliographicalreferencesandindex.ISBN0-387-95519-4(hc:alk.paper)1.Functionalanalysis.I.Lebedev,LeonidPetrovich,1946–II.Title.III.Series.QA320.L34832002515′.7—dc212002075732ISBN0-387-95519-4Printedonacid-freepaper.©2003Springer-VerlagNewYork,Inc.Allri
4、ghtsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyf
5、ormofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch
6、,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.987654321SPIN10881937Typesetting:PagescreatedbytheauthorsusingaSpringerLaTeX2emacropackage.www.springer-ny.comSpringer-VerlagNewYorkBe
7、rlinHeidelbergAmemberofBertelsmannSpringerScience+BusinessMediaGmbHPrefacetotheEnglishEditionThisbookstartedabout30yearsagoasacourseoflecturesonfunctionalanalysisgivenbyayouthfulProf.I.I.VorovichtohisstudentsintheDe-partmentofMathematicsandMechanics(divisi
8、onofMechanics)atRos-tovStateUniversity.Thatcoursewassubsequentlyextendedthroughtheoffering,tothosesamestudents,ofanothercoursecalledApplicationsofFunctionalAnalysis.Later,thecoursesweregiventopuremathematician
