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1、FunctionalAnalysisinMechanicsL.P.LebedevI.I.VorovichSpringerSpringerMonographsinMathematicsL.P.LebedevI.I.VorovichFunctionalAnalysisinMechanicsL.P.LebedevI.I.VorovichDepartamentodeMatema´ticas(deceased)UniversidadNacionaldeColombiaBogota´Colombialebedev@uolpremium.net.coMathematicsSubjectCla
2、ssification(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)Includesbibliographicalreferencesandindex.ISBN0-387-95519-4(hc:alk.paper)1.Functio
3、nalanalysis.I.Lebedev,LeonidPetrovich,1946–II.Title.III.Series.QA320.L34832002515′.7—dc212002075732ISBN0-387-95519-4Printedonacid-freepaper.2003Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-Ve
4、rlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.The
5、useinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.PrintedintheUnitedStatesofAmerica.987654321SPIN10881937Typesetting:PagescreatedbytheauthorsusingaSp
6、ringerLaTeX2emacropackage.www.springer-ny.comSpringer-VerlagNewYorkBerlinHeidelbergAmemberofBertelsmannSpringerScience+BusinessMediaGmbHPrefacetotheEnglishEditionThisbookstartedabout30yearsagoasacourseoflecturesonfunctionalanalysisgivenbyayouthfulProf.I.I.VorovichtohisstudentsintheDe-partmen
7、tofMathematicsandMechanics(divisionofMechanics)atRos-tovStateUniversity.Thatcoursewassubsequentlyextendedthroughtheoffering,tothosesamestudents,ofanothercoursecalledApplicationsofFunctionalAnalysis.Later,thecoursesweregiventopuremathematicians,andev
