Gilles Pisier is Emeritus Professor at the University of Paris VI, where he worked from 1981 to 2010. He is also a Distinguished Professor and holder of the Owen Chair in Mathematics at Texas A&M University. His international prizes include the Salem Prize in harmonic analysis (1979), the Ostrowski Prize (1997), and the Stefan Banach Medal (2001). He is a member of the Paris Académie des Sciences, a Foreign member of the Polish and Indian Academies of Science, and a Fellow of both the IMS and the AMS. He is also the author of several books, notably The Volume of Convex Bodies and Banach Space Geometry (Cambridge, 1989) and Introduction to Operator Space Theory (Cambridge, 2003).
'This book is devoted to various aspects affirming the importance of martingale techniques throughout the development of modern Banach space theory. ... The book is self-contained and is quite accessible with only a basic functional analysis background. In particular, it does not assume any prior knowledge of scalar-valued martingale theory. ... It is this reviewer's opinion that this excellent book will appeal to a wide audience and will become a classic reference in martingale theory.' Narcisse Randrianantoanina, Mathematical Reviews 'This book is devoted to various aspects affirming the importance of martingale techniques throughout the development of modern Banach space theory. ... The book is self-contained and is quite accessible with only a basic functional analysis background. In particular, it does not assume any prior knowledge of scalar-valued martingale theory. ... It is this reviewer's opinion that this excellent book will appeal to a wide audience and will become a classic reference in martingale theory.' Narcisse Randrianantoanina, Mathematical Reviews