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

By Konrad Schmüdgen

Book Overview

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 Positivstellens?tze.- 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.

• Format: Paperback
• Language: English
• ISBN: 3030463680
• ISBN13: 9783030463687
• Release Date: July 2021
• Publisher: Springer
• Length: 381 Pages
• Weight: 1.23 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"