半群算子topics in operator semigroups (shmuel kantorovitz)

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1、ProgressinMathematicsVolume281SeriesEditorsHymanBassJosephOesterléAlanWeinsteinTopicsinOperatorSemigroupsShmuelKantorovitzBirkhäuserBoston•Basel•BerlinShmuelKantorovitzDepartmentofMathematicsBarIlanUniversity52900RamatGanIsraelkantor@macs.biu.ac.ilISBN978-0-8176-4931-9e-ISBN978-0-8176-

2、4932-6DOI10.1007/978-0-8176-4932-6SpringerNewYorkDordrechtHeidelbergLondonLibraryofCongressControlNumber:2009938183MathematicsSubjectClassification(2000):47D03,47D06,47D60,47D62©BirkhäuserBoston,apartofSpringerScience+BusinessMedia,LLC2010Allrightsreserved.Thisworkmaynotbetranslatedorc

3、opiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(BirkhäuserBoston,c/oSpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electroni

4、cadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttopropr

5、ietaryrights.Printedonacid-freepaperBirkhäuserBostonispartofSpringerScience+BusinessMedia(www.birkhauser.com)ToIta,Bracha,Pnina,Pinchas,andRuthContentsPreface........................................................xiPartIGeneralTheoryA.BasicTheory.......................................

6、.......3A.1Overview...............................................3A.2TheGenerator..........................................5A.3TypeandSpectrum......................................9A.4UniformContinuity......................................10A.5CorefortheGenerator......................

7、.............11A.6TheResolvent..........................................13A.7Pseudo-Resolvents.......................................15A.8TheLaplaceTransform...................................17A.9AbstractPotentials......................................18A.10TheHille–YosidaTheorem...