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1、SpringerMonographsinMathematicsAlbrechtBöttcher·BerndSilbermannAnalysisofToeplitzOperatorsSecondEditionPreparedjointlywithAlexeiKarlovichWith20Figures123AlbrechtBöttcherBerndSilbermannTechnischeUniversitätChemnitzFakultätfürMathematik09107Chemnitz,Germanyab
2、oettch@mathematik.tu-chemnitz.debernd.silbermann@mathematik.tu-chemnitz.deLibraryofCongressControlNumber:2006922574MathematicsSubjectClassification(2000):47-02,15A15,30D55,42A50,45E10,46E25,47B35,47L15,65F99ISSN1439-7382ISBN-103-540-32434-8Springer-VerlagBe
3、rlinHeidelbergNewYorkISBN-13978-3-540-32434-8Springer-VerlagBerlinHeidelbergNewYorkISBN3-540-52147-X1sted.Springer-VerlagBerlinHeidelbergNewYork(co-publication)Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,s
4、pecificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptem
5、ber9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringer.com©Springer-VerlagBerlinHeidelberg2006©Akademie-VerlagBerli
6、n1990FirstEditionPrintedinGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse
7、.TypesettingbytheauthorsusingaSpringerTEXmacropackageProductionanddataconversion:LE-TEXJelonek,Schmidt&VöcklerGbR,LeipzigCoverdesign:ErichKirchner,HeidelbergPrintedonacid-freepaper41/3100YL-543210PrefacetotheSecondEditionSincethelate1980s,Toeplitzoperatorsa
8、ndmatriceshaveremainedafieldofextensiveresearchandthedevelopmentduringthelastnearlytwentyyearsisimpressive.OneencountersToeplitzmatricesinplentyofapplicationsontheonehand,andToeplitzoperatorsconfirmedthe
