Upper Bounds for Grothendieck Constants, Quantum Correlation Matrices and CCP Functions
This book concentrates on the famous Grothendieck inequality and the continued search for the still unknown best possible value of the real and complex Grothendieck constant (an open problem since 1953). It describes in detail the state of the art in research on this fundamental inequality, includin...
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| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2024.
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| Edició: | 1st ed. 2024. |
| Col·lecció: | Lecture Notes in Mathematics,
2349 |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-57201-2 |
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Taula de continguts:
- - Introduction and motivation
- Complex Gaussian random vectors and their probability law
- A quantum correlation matrix version of the Grothendieck inequality
- Powers of inner products of random vectors, uniformly distributed on the sphere
- Completely correlation preserving functions
- The real case: towards extending Krivine's approach
- The complex case: towards extending Haagerup's approach
- A summary scheme of the main result
- Concluding remarks and open problems
- References
- Index.