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[日] 章一郎堺 著
出版社: 世界图书出版公司 ISBN:9787510004704 版次:1 商品编码:10865238 包装:平装 开本:16开 出版时间:2009-06-01 用纸:胶版纸 页数:256 正文语种:英文
1.1.DefinitionsofC*-AlgebrasandW*-Algebras
1.2.CommutativeC*-Algebras
1.3.StoneanSpaces
1.4.PositiveElementsofaC*-Algebra
1.5.PositiveLinearFunctionaisonaC*-Algebra
1.6.ExtremePointsintheUnitSphereofaC*-Algebra
1.7.TheWeakTopologyonaW*-Algebra
1.8.VariousTopologiesonaW*-Algebra
1.9.Kaplansky'sDensityTheorem
1.1 0.IdealsinaW*-Algebra
1.1 1.SpectralResolutionofSelf-AdjointElementsinaW*-Algebra
1.1 2.ThePolarDecompositionofElementsofaW*-Algebra
1.1 3.LinearFunctionalsonaW*-Algebra
1.1 4.PolarDecompositionofLinearFunctionalsonaW*-Algebra
1.1 5.ConcreteC*-AlgebrasandW*-Algebras
1.1 6.TheRepresentationTheoremsforC*-AlgebrasandW*-Algebras
1.1 7.TheSecondDualofaO-Algebra
1.1 8.CommutativeW*-Algebras
1.1 9.TheC*-AlgebraCofallCompactLinearOperatorsonaHilbertSpace
1.2 0.TheCommutationTheoremofyonNeumann
1.2 1.*-RepresentationsofC*-Algebras,1
1.2 2.TensorProductsofC*-AlgebrasandW*-Algebras
1.2 3.TheInductiveLimitandInfiniteTensorProductofC*-Algebras
1.2 4.Radon-NikodymTheoremsinW*-Algebras
2.ClassificationofW*-Algebras
2.1.EquivalenceofProjectionsandtheComparabilityTheorem
2.2.ClassificationofW*-Algebras
2.3.TypeIW*-Algebras
2.4.FiniteW*-Algebras
2.5.TracesandCriterionsofTypes
2.6.TypesofTensorProductsofW*-Algebras
2.7.*-RepresentationsofC*-AlgebrasandW*-Algebras,2
2.8.TheCommutationTheoremofTensorProducts
2.9.SpatialIsomorphismsofW*-Algebras
3.DecompositionTheory
3.1.DecompositionsofStates(Non-SeparableCases)
3.2.ReductionTheory(Space-Free)
3.3.DirectIntegralofHilbertSpaces
3.4.DecompositionofStates(SeparableCases)
3.5.CentralDecompositionofStates(SeparableCases)
4.SpecialTopics
4.1.DerivationsandAutomorphismsofC*-AlgebrasandW*-Algebras
4.2.ExamplesofFactors,1(GeneralConstruction)
4.3.ExamplesofFactors,2(UncountableFamiliesofTypesⅡ1,ⅡandⅢ
4.4.ExamplesofFactors,3(OtherResultsandProblems)
4.5.GlobalW*-Algebras(Non-Factors)
4.6.TypeIC*-Algebras
4.7.OnaStone-WeierstrassTheoremforC*-Algebras
Bibliography
SubjectIndex
ListofSymbols
C*代数和W*代数 电子书 下载 mobi epub pdf txt
C*代数和W*代数-so88
C*代数和W*代数 pdf epub mobi txt 电子书 下载 2022
图书介绍
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[日] 章一郎堺 著
出版社: 世界图书出版公司 ISBN:9787510004704 版次:1 商品编码:10865238 包装:平装 开本:16开 出版时间:2009-06-01 用纸:胶版纸 页数:256 正文语种:英文
内容简介
《C*代数和W*代数》是Springer经典数学教材系列之一。该系列包含已出版的400多本教材,许多已经被奉为经典并该科目的标准参考书。该书对vonNeumann代数理论给出了全面而详细的介绍。几乎包含该科目的所有基本结果。对于初学着和专家来说本书都是一本非常难得的参考书。目录
1.GeneralTheory1.1.DefinitionsofC*-AlgebrasandW*-Algebras
1.2.CommutativeC*-Algebras
1.3.StoneanSpaces
1.4.PositiveElementsofaC*-Algebra
1.5.PositiveLinearFunctionaisonaC*-Algebra
1.6.ExtremePointsintheUnitSphereofaC*-Algebra
1.7.TheWeakTopologyonaW*-Algebra
1.8.VariousTopologiesonaW*-Algebra
1.9.Kaplansky'sDensityTheorem
1.1 0.IdealsinaW*-Algebra
1.1 1.SpectralResolutionofSelf-AdjointElementsinaW*-Algebra
1.1 2.ThePolarDecompositionofElementsofaW*-Algebra
1.1 3.LinearFunctionalsonaW*-Algebra
1.1 4.PolarDecompositionofLinearFunctionalsonaW*-Algebra
1.1 5.ConcreteC*-AlgebrasandW*-Algebras
1.1 6.TheRepresentationTheoremsforC*-AlgebrasandW*-Algebras
1.1 7.TheSecondDualofaO-Algebra
1.1 8.CommutativeW*-Algebras
1.1 9.TheC*-AlgebraCofallCompactLinearOperatorsonaHilbertSpace
1.2 0.TheCommutationTheoremofyonNeumann
1.2 1.*-RepresentationsofC*-Algebras,1
1.2 2.TensorProductsofC*-AlgebrasandW*-Algebras
1.2 3.TheInductiveLimitandInfiniteTensorProductofC*-Algebras
1.2 4.Radon-NikodymTheoremsinW*-Algebras
2.ClassificationofW*-Algebras
2.1.EquivalenceofProjectionsandtheComparabilityTheorem
2.2.ClassificationofW*-Algebras
2.3.TypeIW*-Algebras
2.4.FiniteW*-Algebras
2.5.TracesandCriterionsofTypes
2.6.TypesofTensorProductsofW*-Algebras
2.7.*-RepresentationsofC*-AlgebrasandW*-Algebras,2
2.8.TheCommutationTheoremofTensorProducts
2.9.SpatialIsomorphismsofW*-Algebras
3.DecompositionTheory
3.1.DecompositionsofStates(Non-SeparableCases)
3.2.ReductionTheory(Space-Free)
3.3.DirectIntegralofHilbertSpaces
3.4.DecompositionofStates(SeparableCases)
3.5.CentralDecompositionofStates(SeparableCases)
4.SpecialTopics
4.1.DerivationsandAutomorphismsofC*-AlgebrasandW*-Algebras
4.2.ExamplesofFactors,1(GeneralConstruction)
4.3.ExamplesofFactors,2(UncountableFamiliesofTypesⅡ1,ⅡandⅢ
4.4.ExamplesofFactors,3(OtherResultsandProblems)
4.5.GlobalW*-Algebras(Non-Factors)
4.6.TypeIC*-Algebras
4.7.OnaStone-WeierstrassTheoremforC*-Algebras
Bibliography
SubjectIndex
ListofSymbols
前言/序言
C*代数和W*代数 电子书 下载 mobi epub pdf txt
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