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1、ProblemBooksinMathematicsSeriesEditorPeterWinklerDepartmentofMathematicsDartmouthCollegeHanover,NH03755USApeter.winkler@dartmouth.eduForfurthervolumes:http://www.springer.com/series/714J.W.NeubergerASequenceofProblemsonSemigroups123J.W.NeubergerDepartmentofMathemati
2、csUniversityofNorthTexasDenton,TX76203USAjwn@unt.eduISSN0941-3502ISBN978-1-4614-0429-3e-ISBN978-1-4614-0430-9DOI10.1007/978-1-4614-0430-9SpringerNewYorkDordrechtHeidelbergLondonLibraryofCongressControlNumber:2011934358MathematicsSubjectClassi?cation(2010):46T99,35K9
3、0,01K12cSpringerScience+BusinessMedia,LLC2011Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithre
4、viewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilar
5、terms,eveniftheyarenotidenti?edassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperSpringerispartofSpringerScience+BusinessMedia(www.springer.com)Contents1Introduction..................................
6、............12TheIdeaofaSemigroup..................................33TranslationSemigroups...................................94LinearContinuousSemigroups............................135StronglyContinuousLinearSemigroups..................176AnApplicationtotheHeatEquat
7、ion.....................237SomeProblemsinAnalysis...............................278CombiningSemigroups,LinearContinuousCase..........319CombiningSemigroups,NonlinearContinuousCase......3510SomeConnectionsBetweenResolventsandLinearSemigroups..........................
8、.....................3911CombiningSemigroups,StronglyContinuousLinearCase...............................................4312SplittingMetho
