Bibliography[1]1.
Ahlfors,Complexanalysis,McGrawHili,NewYork(1953).
[2]W.
Arveson,AnInvitationtoC*-algebras,Graduatetextsinmathematics,vol.
39,Springer-Verlag,NewYork(reprintcd1998).
[3]W.
Arveson,NotesonMeasureandIntegrationinLocallyCompactSpaces,unpub-lishedlecturenotes,availablefromwww.
math.
berkeley.
edurarveson.
[4]W.
Arveson,Ongroupsofautomorphismsofoperatoralgebras,Jour.
Funet.
Anal.
vol.
15,no.
3(1974),217-243.
[5]S.
Axler,LinearAlgebraDoneRight,Undergradutatetextsinmathematics,Springer-Verlag,NewYork(1996).
[6]A.
Beurling,OntwoproblemsconcerninglineartransformationsinHilbenspace,ActaMath.
vol.
81(1949),239-255.
[7]1.
Coburn,Weyl'stheoremfornonnormaloperators,Mich.
Math.
J.
vol.
13(1966),285-286.
[8]A.
Connes,NoncommutativeGeometry,AcademicPress,SanDiego(1994).
[9]K.
Davidson,C*-algebrasbyExample,FieldsInstituteMonographs,Amer.
Math.
Soc.
(1996).
[10]J.
Dixmier,LesC*-algebresetleursRepresentations,Gauthier-Villars,Paris(1964).
[11]R.
Douglas,BanachAlgebraTechniquesinOperatorTheory,AcademicPress,NewYork(1972).
[12]N.
DunfordandJ.
Schwartz,LinearOperators,volumeI,Interscience,NewYork(1958).
[13J1.
Glicksberg,TheabstractF.
andM.
Riesztheorem,Jour.
Funet.
Anal.
vol.
1(1967),109-122.
[14JP.
Halmos,AHilbertSpaceProblemBook,VanNostrand,NewYork(1967).
[15JH.
Helson,HarmonieAnalysis,Wadsworth&Brooks/Cole,PacificGrove,CA(1983).
[16JE.
HewittandK.
Ross,AbstractHarmonieAnalysis,vol.
2,Springer-Verlag,Berlin(1970).
[17JL.
Loomis,AnIntroduetiontoAbstractHarmonieAnalysis,VanNostrand,NewYork,(1953).
[18]P.
Muhly,FunctionalgebrasandfiowsI,AetaSei.
Math.
(Szeged)vol.
35(1973),111-12l.
[19]G.
K.
Pedersen,AnalysisNOW,Graduatetextsinmathematics,vol.
118,Springer-Verlag,NewYork(1989).
[20JC.
Rickart,GeneralTheoryofBanachAlgebras,VanNostrand,Prineeton(1960).
[21JF.
RieszandB.
Sz.
-Nagy,FunctionalAnalysis,FrederickUngar,NewYork(1955).
131IndexA-I,14absolutelyconvergentseries,8,11adjointofanoperator,40algebraBanach,8complex,7disk,8division,17group,lOmatrix,9normed,8asymptoticinvariant,83,85Atkinson'stheorem,93Banach*-algebra,57Banachalgebra,8semisimple,27Banachlimit,85basisforavectorspace,24Beurling'stheorem,118proofof,120C(X),8CO-algebraofoperators,42Calkinalgebra,83closedconvexhull,28Coburn'stheorem,119cokernel,87commutantofasetofoperators,43commutativeC*-algebrascharacterizationof,47compactoperator,13,68convexhull,28coordinatesystemsandunitaryoperators,52coronaoflR,81currentvariable,31,54,69,105,106,112133curve,34cycle,35cyclicrepresentation,59diagonalizableoperator,53directsumofrepresentations,57diskalgebra,8divisionalgebra,17equivalentrepresentations,58essentialrangeoffELoo,44representation,57spectrum,94exactsequence,21exponentialmap,47extensionsemisplit,112split,112Toeplitz,112F(E),93F.
andM.
Riesztheorem,118finite-rankoperator,13Fredholmalternative,87Fredholmindex,95FredholmoperatoronaBanachspace,93freeabeliangroup,35functionalcalculusanalytic,33,37Borei,63continuous,51Gelfandmap,26Gelfandspectrum,25compactnessof,25Gelfand-Mazurtheorem,19Gelfand-Naimarktheorem,129generallineargroup,14openness,14134GNSconstruction,122GNSpairexistence,123forstatesonBanach*-algebras,123uniqueness,123groupalgebras,10HI,119H2,106HOC,106Haarmeasure,10Hartman-Wintnertheorems,122Hausdorffmaximalityprinciple,23Hilbert-Schmidtoperator,70holeofKRD.
Algebra.
104DuBRovINIFOMENKIYNOVIKOV.
Modem74DAVENPORT.
MultiplicativeNumberGeometry-MethodsandApplications.
Theory.
3rded.
Partn.
75HOCHSCHD.
.
D.
BasicTheoryofAlgebraic105LANG.
SLz(R).
GroupsandLieAlgebras.
106Sn.
.
VERMAN.
TheArithmeticofElliptic76IrrAKA.
AigebraicGeometry.
Curves.
77HEcKE.
LecturesontheTheoryof107OLVER.
ApplicationsofLieGroupstoAigebraicNumbers.
DifferentialEquations.
2nded.
78BURRIslSANKAPPANAVAR.
ACoursein108RANGE.
HolomorphicFunctionsandUniversalAlgebra.
IntegralRepresentationsinSeveral79WALTERS.
AnIntroductiontoErgodicComplexVariables.
Theory.
109LEHTO.
UnivalentFunctionsand80ROBINSON.
ACourseintheTheoryofTeichmUllerSpaces.
Groups.
2nded.
110LANG.
AJgebraicNumberTheory.
81FoRSTER.
LecturesonRiemannSurfaces.
111HUSEMOILER.
EllipticCurves.
82Barrffu.
DifferentialFormsinAigebraic112LANG.
EllipticFunctions.
Topology.
113KARATlAslSHREVE.
BrownianMotionand83WASHINGTON.
Introduction10CycIolomicSlochasticCalculus.
2nded.
Fields.
2nded.
114KOBUTZ.
ACourseinNumberTheoryand84IRELANDlROSEN.
AC1assicallntroductionCryptography.
2nded.
toModemNumberTheory.
2nded.
I1SBERGERlGosnAUX.
DifferentialGeometry:8SEDWARDS.
FourierSeries.
Vol.
n.
2nded.
Manifolds.
Curves.
andSurfaces.
86VANUNT.
Introduction10CodingTheory.
116KELLEy/SRINIVASAN.
Measureand2nded.
Integral.
Vol.
I.
87BROWN.
CohomologyofGroups.
117SERRE.
AigebraicGroupsandClassFields.
88PIERCE.
AssociativeAlgebras.
118PEoERSEN.
AnalysisNow.
89LANG.
IntroductiontoAlgebraicand119ROTMAN.
AnIntroductiontoAlgebraicAbelianFunctions.
2nded.
Topology.
90BR/IlNDSTED.
AnIntroductiontoConvex120ZIEMER.
WeaklyDifferentiableFunctions:Polytopes.
SobolevSpacesandFunctionsofBounded91BEARDON.
OntheGeometryofDiscreteVariation.
Groups.
121LANG.
CyclotomicFieldslandn.
92DIESTEL.
SequencesandSeriesinBanachCombined2nded.
Spaces.
122REMMERT.
TheoryofComplexFunctions.
93DuBROVINIFoMENKIYNOVIKOV.
ModemReadingsinMathematicsGeometry-MethodsandApplications.
123EBBINGHAUsIHERMEsetal.
Numbers.
PartI.
2nded.
ReadingsinMathematics94WARNER.
FoundationsofDifferentiable124DuBROVINIFoMENKIYNovIKOV.
ModemManifoldsandLieGroups.
Geometry-MethodsandApplications.
9SSHIRYAEV.
Probability.
2nded.
Partm.
96CONWAY.
ACourseinFunctional12SBERENSTEINfGAY.
ComplexVariables:Analysis.
2nded.
AnIntroduction.
126BOREL.
tinearAlgebraicGroups.
2nded.
157MAllJAVIN.
Integrationand127MASSEY.
ABasicCourseinAigebraicProbability.
Topology.
158ROMAN.
FieldTheory.
128RAuOI.
PartialDifferentialEquations.
159CONWAY.
FunctionsofOne129FuLTONIHARRIs.
RepresentationTheory:AComplexVariableD.
FirstCourse.
160LANG.
DifferentialandRiemannianReadingsinMathematicsManifolds.
130DooSONlPosToN.
TensorGeometry.
161BoaWEINlERDaYI.
Polynomialsand131LAM.
AFirstCourseinNoncommutativePolynomiallnequalities.
Rings.
2nded.
162ALPERINlBEll.
.
Groupsand132BEARDON.
IterationofRationalFunctions.
Representations.
133HARRIs.
AlgebraicGeometry:AFirst163DIXONIMORTIMER.
PermutationGroups.
Course.
164NAllIANSON.
AdditiveNumberTheory:134ROMAN.
CodingandInformationTheory.
TheClassicalBases.
135ROMAN.
AdvancedUnearAlgebra.
165NA1lIANSON.
AdditiveNumberTheory:136ADKINslWElNTRAUB.
Algebra:AnInverseProblemsandtheGeometryofApproachviaModuleTheory.
Sumsets.
137AxLER!
BOURDONIRAMEY.
Harmonic166SHARPE.
DifferentialGeometry:Cartan'sFunctionTheory.
2nded.
GeneralizationofK1ein'sErlangen138COHEN.
ACourseinComputationalProgram.
AlgebraicNumberTheory.
167MORANDJ.
FieldandGaloisTheory.
139BREDON.
TopologyandGeometry.
168EWALD.
CombinatorialConvexityand140AUBIN.
OptimaandEquilibria.
AnAlgebraicGeometry.
IntroductiontoNonünearAnalysis.
169BHATIA.
MatrixAnalysis.
141BECKERIWElsPFENNlNGIKREDEL.
Grbner170BREDON.
SheafTheory.
2nded.
Bases.
AComputationalApproachto171PETERSEN.
RiemannianGeometry.
CommutativeAlgebra.
172REMMERT.
ClassicalTopicsinComplex142LANG.
RealandFunctionalAnalysis.
FunctionTheory.
3rded.
173DIESTEL.
GraphTheory.
2nded.
143DooB.
MeasureTheory.
174BRIDGES.
FoundationsofRealand144DENNISIFARB.
NoncommutativeAbstractAnalysis.
Algebra.
175lJCKORISH.
AnIntroductiontoKnot145VICK.
HomologyTheory.
AnTheory.
IntroductiontoAigebraicTopology.
176lJ!
E.
RiemannianManifotds.
2nded.
177NEWMAN.
AnalyticNumberTheory.
146BRIDGES.
Computability:A178CLARKF.
IIB>YAEV/STERNlWOl.
ENSKI.
MathematicalSketchbook.
NonsmoothAnalysisandControl147ROSENBERG.
AlgebraicK-TheoryTheory.
and1tsApplications.
179DoUGLAS.
BanachAlgebraTechniquesin148ROTMAN.
AnIntroductiontotheOperatorTheory.
2nded.
TheoryofGroups.
4thed.
180SRIVASTAVA.
ACourseonBorelSets.
149RA~.
FOundationsof181KRESs.
NumericalAnalysis.
HyperboücManifolds.
182WALTER.
OrdinaryDifferential150EIsENBUD.
CommutativeAlgebraEquations.
withaViewTowardAlgebraic183MEGGINSON.
AnIntroductiontoBanachGeometry.
SpaeeTheory.
151Sn.
VERMAN.
AdvancedTopicsin184BOUOBAS.
ModemGraphTheory.
theArithmeticofEJüpticCurves.
185COXILmLEIO'SHEA.
UsingAlgebraic152ZlEGLER.
LecturesonPolytopes.
Geometry.
153fULTON.
AlgebraicTopology:A186RAMAKlUSHNANIVALENZA.
FOurierFirstCourse.
AnalysisonNumberFields.
154BROWNIPEARCY.
AnIntroductionto187HARRISIMoRRISON.
ModuüofCurves.
Analysis.
188GoWBLATT.
LecturesontheHyperreals:155KAssEL.
QuantumGroups.
AnlntroductiontoNonstandardAnalysis.
156KEcHRJS.
ClassicalDescriptiveSet189LAM.
LecturesonModulesandRings.
Theory.
190EsMONDFJMURTY.
ProblemsinAlgebraie201HINDRY/Sn.
VERMAN.
DiophantineNumberTheory.
Geometry:AnIntroduetion.
191LANG.
FundamentalsofDifferential202LEE.
IntroduetiontoTopologiealGeometry.
Manifolds.
192HIRSCHILACOMBE.
Elementsof203SAGAN.
TheSymmetrieGroup:FunctionalAnalysis.
Representations.
Combinatorial193COHEN.
AdvaneedTopiesinAlgorithms.
andSymmetrieFunetions.
ComputationalNumberTheory.
204EscOFIER.
GaloisTheory.
194ENGEllNAGEL.
One-ParameterSemigroups205FEuxlHALPERINITHOMAS.
RationalforLinearEvolutionEquations.
HomotopyTheory.
2nded.
195NA11IANSON.
ElementaryMethodsin206MuRTY.
ProblemsinAnalytieNumberNumberTheory.
Theory.
196OSBORNE.
BasieHomologiealAlgebra.
ReadingsinMathematics197ElSENBUDIHARRIs.
TheGeometryof207GODSn.
/ROYLE.
AlgebraieGraphTheory.
Sehemes208CHENEY.
AnalysisforApplied198ROBERT.
ACourseinp-adieAnalysis.
Mathematics.
199HEDENMALMIKORENBLUMlZHu.
Theory209ARVESON.
AShortCourseonSpectralofBergmanSpaees.
Theory.
200BAoICHERNlSHEN.
AnIntroduetiontoRiemann-FinslerGeometry.
lI:tEli.
~(CIP)ilJI~Mf~ft~=AShortCourseonSpectralTheory:~X/(~)jtX~(Arveson,W.
fp*.
-~tJii::1itW-m~ItlJt&%IiJ~tJii:%IiJ,2010.
2ISBN978-7-5100-0495-7I.
CDit.
.
·11.
CDjt.
.
·m.
CD~$fa!
W:5!
r]-~tt.
TJ1I!
~-il~~(fl~)-i1f~1:-ft#-~xW.
0177.
1!
fOOJt&*OO45itCIPflUH~~(2010)~010546%~45:AShortCourseonSpectralTheoryf1:ff:WilliamArvesonI:j:lit45:ilJ1I!
~1'l~tttil.
fHtUl:~~XlJ.
WJIiff:1ft3'\'-0045iliJt&0tfj~tJ:0tfjsPMUff:_=JüJOO~fMHfIl&0tfjJlfi:1it3'\'-m45iliJt&0tfj~tJ:0tfj(~tJ:~~*W137%"':010~021602,010~015659"'Tfl":kjb@wpcbj.
cornocn7f*:247fsP~:6.
5JIi~:2010~01JIJIi*.
ll!
tla:OO~:01-2009-1055100010)~~:978-7-5100-0495-7/0'710~ffi':25.
00j(;
41云怎么样?41云是国人主机品牌,目前经营产品有国内外云服务器、CDN(高防CDN)和物理机,其中国内外云服务器又细分小类有香港限流量VPS、香港大带宽VPS、香港弹性自选VPS、香港不限流VPS、香港BGP线路VPS、香港Cera+大带宽机器、美国超防VPS、韩国原生VPS、仁川原生VPS、日本CN2 VPS、枣庄高防VPS和金华高防VPS;物理机有美国Cera服务器、香港单程CN2服务器、香...
搬瓦工vps(bandwagonhost)现在面向中国大陆有3条顶级线路:美国 cn2 gia,香港 cn2 gia,日本软银(softbank)。详细带宽是:美国cn2 gia、日本软银,都是2.5Gbps~10Gbps带宽,香港 cn2 gia为1Gbps带宽,搬瓦工是目前为止,全球所有提供这三种带宽的VPS(云服务器)商家里面带宽最大的,成本最高的,没有第二家了! 官方网站:https...
UCloud优刻得近日针对全球大促活动进行了一次改版,这次改版更加优惠了,要比之前的优惠价格还要低一些,并且新增了1核心1G内存的快杰云服务器,2元/首年,47元/年,这个价格应该是目前市面上最低最便宜的云服务器产品了,有需要国内外便宜VPS云服务器的朋友可以关注一下。UCloud好不好,UCloud服务器怎么样?UCloud服务器值不值得购买UCloud是优刻得科技股份有限公司旗下拥有的云计算服...
www.147ttt.com为你推荐
sherylsandbergLean In是一个怎样的组织sonicchat苹果手机微信显示WeChataccess数据库Access数据库对象的操作包括哪五种?百度关键词价格查询百度竞价关键词价格查询,帮忙查几个词儿点击一次多少钱,thanks8090lu.com8090向前冲电影 8090向前冲清晰版 8090向前冲在线观看 8090向前冲播放 8090向前冲视频下载地址??mole.61.com摩尔庄园RK的秘密是什么?sodu.tw今天sodu.org为什么打不开了?机器蜘蛛《不思议迷宫》四个机器蜘蛛怎么得 获得攻略方法介绍www.gogo.comNEO春之色直径?本冈一郎本冈一郎到底有效果吗?有人用过吗?
域名注册使用godaddy vps服务器租用 科迈动态域名 西安服务器 mediafire下载工具 hnyd 嘟牛 华为4核 嘉洲服务器 100x100头像 php空间推荐 hostloc 南通服务器 服务器托管什么意思 免费智能解析 沈阳主机托管 阿里云免费邮箱 万网主机 美国迈阿密 godaddy空间 更多