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1、LectureNotesinMathematics1830Editors:J.--M.Morel,CachanF.Takens,GroningenB.Teissier,Paris3BerlinHeidelbergNewYorkHongKongLondonMilanParisTokyoMichaelI.Gil’OperatorFunctionsandLocalizationofSpectra13AuthorMichaelI.Gil’DepartmentofMathematicsBenGurionUniversityofNegevP.O.B
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3、thttp://dnb.ddb.deMathematicsSubjectClassification(2000):47A10,47A55,47A56,47A75,47E05,47G10,47G20,30C15,45P05,15A09,15A18,15A42ISSN0075-8434ISBN3-540-2246-3Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthe
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5、fSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer-Verlag.ViolationsareliableforprosecutionundertheGermanCopyrightLaw.Springer-VerlagisapartofSpringerScience+BusinessMediaspringeronline.comcSpringer-VerlagBerlinHeidelberg2003Printed
6、inGermanyTheuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:Camera-readyTEXoutputbyth
7、eauthorsSPIN:1096478141/3142/du-543210-Printedonacid-freepaperPreface1.Alotofbooksandpapersareconcernedwiththespectrumoflinearop-eratorsbutdealmainlywiththeasymptoticdistributionsoftheeigenvalues.However,inmanyapplications,forexample,innumericalmathematicsandstabilityana
8、lysis,boundsforeigenvaluesareveryimportant,buttheyarein-vestigatedconsiderablylessthanasymptoticdistrib
