Chapter 1 Preliminaries

Chapter 2 O-Families and Their Graph Topologies

Chapter 3 Spaces of Linear Mappings Associated with O-Families and Their Topologization

Chapter 4 Topologies for O-Families with Metrizable Graph Topologies

Chapter 5 Ultraweakly Continuous Linear Functionals and Duality Theory

Chapter 6 The Generalized Calkin Algebra and the *-Algebra % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfKttLearuavP1wzZbItLDhis9wBH5garm % Wu51MyVXgaruWqVvNCPvMCaebbnrfifHhDYfgasaacH8srps0lbbf9 % q8WrFfeuY-Hhbbf9v8qqaqFr0xc9pk0xbba9q8WqFfea0-yr0RYxir % -Jbba9q8aq0-yq-He9q8qqQ8frFve9Fve9Ff0dmeaabaqaaiaacaGa % aeqabaWaaeaaeaaakeaatuuDJXwAK1uy0HwmaeHbfv3ySLgzG0uy0H % gip5wzaGqbciab-jrimnaaCaaaleqabaWaaWbaaWqabeaacqGHRaWk % aaaaaOWaaeWaaeaacqWFdepraiaawIcacaGLPaaaaaa!3E88! $$ {\mathcal{L}^{^ + }}\left( \mathcal{D} \right)$$

Chapter 7 Commutants

Chapter 8 Basics of *-Representations

Chapter 9 Self-Adjoint Representations of Commutative *-Algebras

Chapter 10 Integrable Representations of Enveloping Algebras

Chapter 11 n -Positivity and Complete Positivity of *-Representations

Chapter 12 Integral Decompositions of *-Representations and States