Martingales in banach spaces / Gilles Pisier
Material type: TextPublication details: United Kingdom Cambridge University Press 2016Description: 561 pISBN:- 9781107137240
- 519.287 PIS-G
Item type | Current library | Collection | Shelving location | Call number | Status | Date due | Barcode | Item holds | |
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Books | BITS Pilani Hyderabad | 510 | General Stack (For lending) | 519.287 PIS-G (Browse shelf(Opens below)) | Available | 37832 |
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519.27 PAC-E Mathematics of games and gambling / | 519.282 ALT-T Simulation modeling and analysis with arena | 519.287 CLA-B Predictive statistics : | 519.287 PIS-G Martingales in banach spaces / | 519.3 BOI-L Mathematical methods of optimization | 519.3 BOR-T An introduction to the theory of mechanism design / | 519.3 CHA-S Course on cooperative game theory / |
This book focuses on the major applications of martingales to the geometry of Banach spaces, and a substantial discussion of harmonic analysis in Banach space valued Hardy spaces is also presented. It covers exciting links between super-reflexivity and some metric spaces related to computer science, as well as an outline of the recently developed theory of non-commutative martingales, which has natural connections with quantum physics and quantum information theory. Requiring few prerequisites and providing fully detailed proofs for the main results, this self-contained study is accessible to graduate students with a basic knowledge of real and complex analysis and functional analysis. Chapters can be read independently, with each building from the introductory notes, and the diversity of topics included also means this book can serve as the basis for a variety of graduate courses.
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