An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space

Table of Contents

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   Book Overview
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   Chapter 1 Prologue: The Algebraic Approach to Quantum Theories
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   Chapter 2 $$*$$ ∗ -Algebras
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   Chapter 3 $$O^*$$ O ∗ -Algebras
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   Chapter 4 $$*$$ ∗ -Representations
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   Chapter 5 Positive Linear Functionals
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   Chapter 6 Representations of Tensor Algebras
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   Chapter 7 Integrable Representations of Commutative $$*$$ ∗ -Algebras
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   Chapter 8 The Weyl Algebra and the Canonical Commutation Relation
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    Chapter 9 Integrable Representations of Enveloping Algebras
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    Chapter 10 Archimedean Quadratic Modules and Positivstellensätze
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    Chapter 11 The Operator Relation $$XX^{*}=F(X^{*}X)$$ X X ∗ = F ( X ∗ X )
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    Chapter 12 Induced $$*$$ ∗ -Representations
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    Chapter 13 Well-Behaved Representations
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    Chapter 14 Representations on Rigged Spaces and Hilbert $$C^*$$ C ∗ -Modules