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- 380 pages
- English
- PDF
- Available on iOS & Android
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Unbounded Operator Algebras and Representation Theory
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Table of contents
- Dedication
- Preface
- 1. Preliminaries
- Part I. 0*-Algebras and Topologies
- Introduction
- 2. O-Families and Their Graph Topologies
- 3. Spaces of Linear Mappings Associated with O-Families and Their Topologization
- 4. Topologies for O-Families with Metrizable Graph Topologies
- 5. Ultraweakly Continuous Linear Functionals and Duality Theory
- 6. The Generalized Calkin Algebra and the *-Algebra ℒ<sup>+</sup> (D)
- 7. Commutants
- Part II. *-Representations
- Introduction
- 8. Basics of *-Representations
- 9. Self-Adjoint Representations of Commutative *-Algebras
- 10. Integrable Representations of Enveloping Algebras
- 11. n-Positivity and Complete Positivity of * -Representations
- 12. Integral Decompositions of *-Representations and States
- Bibliography
- Symbol Index
- Subject Index