资源描述：
《gtm246.a.course.in.commutative.banach.algebras.(springer.2008).0387724753》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、GraduateTextsinMathematics246EditorialBoardS.AxlerK.A.RibetForothertitlespublishedinthisseries,gotowww.springer.com/series/136EberhardKaniuthACourseinCommutativeBanachAlgebras123EberhardKaniuthInstituteofMathematicsPaderbornUniversityPaderborn,Germanykaniuth@math.uni-paderborn.deEditori
2、alBoardS.AxlerK.A.RibetMathematicsDepartmentMathematicsDepartmentSanFranciscoStateUniversityUniversityofCaliforniaatBerkeleySanFrancisco,CA94132Berkeley,CA94720-3840USAUSAaxler@sfsu.eduribet@math.berkeley.eduISBN:978-0-387-72475-1e-ISBN:978-0-387-72476-8DOI:10.1007/978-0-387-72476-8Libr
3、aryofCongressControlNumber:2008937945cSpringerScience+BusinessMedia,LLC2009Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenper-missionofthepublisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnec
4、tionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveni
5、ftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperspringer.comDedicatedtomywifeUrsulaPrefaceBanachalgebrasareBanachspacesequippedwithacontinuousmultiplica-tion.Inroughterms,therearethreetypesofthem:al
6、gebrasofboundedlinearoperatorsonBanachspaceswithcompositionandtheoperatornorm,alge-brasconsistingofboundedcontinuousfunctionsontopologicalspaceswithpointwiseproductandtheuniformnorm,andalgebrasofintegrablefunctionsonlocallycompactgroupswithconvolutionasmultiplication.Theseallplayakeyrol
7、einmodernanalysis.MuchofoperatortheoryisbestapproachedfromaBanachalgebrapointofviewandmanyquestionsincomplexanalysis(suchasapproximationbypolynomialsorrationalfunctionsinspecificdo-mains)arebestunderstoodwithintheframeworkofBanachalgebras.Also,thestudyofalocallycompactAbeliangro
