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Random sets and invariants for (type II) continuous tensor product systems of Hilbert spaces
About this Title
Volkmar Liebscher
Publication: Memoirs of the American Mathematical Society
Publication Year:
2009; Volume 199, Number 930
ISBNs: 978-0-8218-4318-5 (print); 978-1-4704-0536-6 (online)
DOI: https://doi.org/10.1090/memo/0930
MathSciNet review: 2507929
MSC: Primary 46L55; Secondary 46L40, 46M05, 60G55
Table of Contents
Chapters
- Chapter 1. Introduction
- Chapter 2. Basics
- Chapter 3. From product systems to random sets
- Chapter 4. From random sets to product systems
- Chapter 5. An hierarchy of random sets
- Chapter 6. Direct integral representations
- Chapter 7. Measurability in product systems: An algebraic approach
- Chapter 8. Construction of product systems from general measure types
- Chapter 9. Beyond separability: Random bisets
- Chapter 10. An algebraic invariant of product systems
- Chapter 11. Conclusions and outlook