TY  - BOOK
AU  - Woyczyński,Wojbor A.
TI  - Geometry and martingales in banach spaces
SN  - 9781138616370
U1  - 515.732 23
PY  - 2018///
CY  - Boca Raton
PB  - CRC Press
KW  - Geometric Analysis
KW  - Martingales
KW  - Mathematics
KW  - Banach Spaces
N1  - Includes bibliographical references and index; 1. Preliminaries: Probability and geometry in Banach spaces -- 2. Dentability, Radon-Nikodym Theorem, and Mar- tingale Convergence Theorem -- 3. Uniform Convexity and Uniform Smoothness. -- 4. Spaces that do not contain c0 -- 5. Cotypes of Banach spaces -- 6. Spaces of Rademacher and stable types -- 7. Spaces of type 2 -- 8. Beck convexity -- 9. Marcinkiewicz-Zygmund Theorem in Banach spaces
N2  - This book provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces. Geometric concepts such as dentability, uniform smoothness, uniform convexity, Beck convexity, etc. turn out to characterize asymptotic behavior of martingales with values in Banach spaces
ER  -