内容

目次

Introduction. 6. Selected Chapters of C*-algebras. 6.1 Lp-Spaces.6.1.1 Characteristic Families of Eigenvalues. 6.1.2 CharacteristicSequences. 6.1.3 Properties of the Lp-spaces. 6.1.4 Hilbert-SchmidtOperators. 6.1.5 The Trace. 6.1.6 Duals of Lp-spaces. 6.1.7 ExteriorMultiplication and Lp-Spaces. 6.1.8 The Canonical Projection of the Tridualsof K. 6.1.9 Integral Operators on Hilbert Spaces. 6.2 Selfadjoint LinearDifferential Equations. 6.2.1 Selfadjoint boundary Value Problems. 6.2.2The Regular Sturm-Liouville Theory. 6.2.3 Selfadjoint Linear DifferentialEquations on T. 6.2.4 Associated Parabolic and Hyperbolic EvolutionEquations. 6.2.5 Selfadjoint Linear Partial Differential Equations. 6.2.6Associated Parabolic and Hyperbolic Evolution Equations. 6.3 Von NeumannAlgebras. 6.3.1 The Strong Topology. 6.3.2 Bidual of a C*-algebra. 6.3.3Extension of the Functional Calculus. 6.3.4 Von Neumann-Algebras. 6.3.5 TheCommutants. 6.3.6 Irreducible Representations. 6.3.7 Commutative vonNeumann Algebras. 6.3.8 Representations of W*-algebras. 6.3.9Finite-dimensional-algebras. 6.3.10 A generalization. 7. C*-algebrasGenerated by Groups. 7.1 Projective Representations of Groups. 7.1.1 Schurfunctions. 7.1.2 Projective Representations. 7.1.3 Supplementary Results.7.1.4 Examples. 7.2 Clifford Algebras. 7.2.1 General Clifford Algebras.7.2.2 Clp,q. 7.2.3 Cl(N). Name Index. Subject Index.