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1、???I?I?SpringeGraduateTextsinMathematics96EditorialBoardS.AxlerF.W.GehringP.R.HalmosSpringerNewYorkBerlinHeidelbergBarcelonaBudapestHongKongLondonMilanParisSantaClaraSingaporeTokyoJohnB.ConwayACourseinFunctionalAnalysisSecondEditionSpringerJohnB.ConwayDepartmentofMathematicsUniversityofTenne
2、sseeKnoxville,TN37996USAEditorialBoardS.AxlerF.W.GehringP.R.HalmosDepartmentofDepartmentofDepartmentofMathematicsMathematicsMathematicsMichiganStateUniversityUniversityofMichiganSantaClaraUniversityEastLansing,MI48824AnnArbor,MI48109SantaClara,CA95053USAUSAUSAWith1Illustration.MathematicalSu
3、bjectClassification:46-01,46L05,47B15,47B25LibraryofCongressCataloging-in-PublicationDataConway,JohnB.Acourseinfunctionalanalysis/JohnB.Conway.-2nded.p.cm.-(Graduatetextsinmathematics;96)Includesbibliographicalreferences.ISBN0-387-97245-5(alk.paper)1.Functionalanalysis.I.Title.II.Series.QA32
4、0.C6581990515.7-dc2090-9585Printedonacid-freepaper.?1990Springer-VerlagNewYork,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(Springer-VerlagNewYork,Inc.,175FifthAvenue,NewYork,NY10010,USA),exceptforbriefexcerptsinconnectionwi
5、threviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseofgeneraldescriptivenames,tradenames,trademarks,etc.,inthispublication,eveniftheformer
6、arenotespeciallyidentified,isnottobetakenasasignthatsuchnames,asunderstoodbytheTradeMarksandMerchandiseMarksAct,mayaccordinglybeusedfreelybyanyone.ProductionmanagedbyFrancineMcNeill;manufacturingsupervisedbyGenieveShaw.TypesetbyThomsonPress(India)Limited,NewDelhi.PrintedandboundbyR.R.Donnell
7、ey&Sons,Harrisonburg,VA.PrintedintheUnitedStatesofAmerica.987654(Correctedfourthprinting,1997)ISBN0-387-97245-5Springer-VerlagNewYorkBerlinHeidelbergISBN3-540-97245-5Springer-VerlagBerlinHeidelbergNewYorkSPIN10558495ForAnn(ofcourse)PrefaceFunctiona
