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The operator Hilbert space $OH$, complex interpolation and tensor norms
About this Title
Gilles Pisier
Publication: Memoirs of the American Mathematical Society
Publication Year:
1996; Volume 122, Number 585
ISBNs: 978-0-8218-0474-2 (print); 978-1-4704-0170-2 (online)
DOI: https://doi.org/10.1090/memo/0585
MathSciNet review: 1342022
MSC: Primary 46B28; Secondary 46L05, 46M05, 46M35, 47D15
Table of Contents
Chapters
- Introduction
- 1. The operator Hilbert space
- 2. Complex interpolation
- 3. The $oh$ tensor product
- 4. Weights on partially ordered vector spaces
- 5. (2,$w$)-summing operators
- 6. The gamma-norms and their dual norms
- 7. Operators factoring through $OH$
- 8. Factorization through a Hilbertian operator space
- 9. On the “local theory” of operator spaces
- 10. Open questions