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

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

Hardcover

Series: Graduate Texts in Mathematics, Book 285

AlgebraGeneral MathematicsPhysics

ISBN10: 3030463656
ISBN13: 9783030463656
Publisher: Springer Nature
Published: Jul 28 2020
Pages: 381
Weight: 1.62
Height: 0.88 Width: 6.14 Depth: 9.21
Language: English
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 Positivstellensätze.- 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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