Invitation to Unbounded Representations of ?-Algebras on Hilbert Space

General Notation.- 1 Prologue: The Algebraic Approach to Quantum Theories.- 2 ?-Algebras.- 3 O*-Algebras.- 4 ?-Representations.- 5 Positive Linear Functionals.- 6 Representations of Tensor Algebras.- 7 Integrable Representations of Commutative ?-Algebras.- 8 The Weyl Algebra and the Canonical Commutation Relation.- 9 Integrable Representations of Enveloping Algebras.- 10 Archimedean Quadratic Modules and Positivstellensaetze.- 11 The Operator Relation XX*=F(X*X).- 12 Induced ?-Representations.- 13 Well-behaved ?-Representations.- 14 Representations on Rigged Spaces and Hilbert C*-modules. A Unbounded Operators on Hilbert Space.- B C*-Algebras and Representations.- C Locally Convex Spaces and Separation of Convex Sets.- References.- Symbol Index.- Subject Index.

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• Análise funcional e transforma
• Física Matemática
• Álgebra
• Grupos e teoria do grupo

GNS construction;Trace functionals;Unbounded representations;Weyl algebra;Infinitesimal representations;Quadratic modules;Positivstellensatz;Rigged spaces;Hilbert C*-modules