Topics in Banach Space Theory

Reviews / Votes

From the reviews:

"Geometry of Banach Spaces is a quite technical field which requires a fair practice of sharp tools from every domain of analysis. . The authors of the book under review succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly. . the book is essentially self-contained. It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated . . I strongly recommend to every graduate student . ." (Gilles Godefroy, Mathematical Reviews, Issue 2006 h)

"This book gives a self-contained overview of the fundamental ideas and basic techniques in modern Banach space theory. . In this book one can find a systematic and coherent account of numerous theorems and examples obtained by many remarkable mathematicians. . It is intended for graduate students and specialists in classical functional analysis. . I think that any mathematician who is interested in geometry of Banach spaces should . look over this book. Undoubtedly, the book will be a useful addition to any mathematical library." (Peter Zabreiko, Zentralblatt MATH, Vol. 1094 (20), 2006)

"This book provides a sequel treatise on classical and modern Banach space theory. It is mainly focused on the study of classical Lebesgue spaces L _p , sequence spaces l _p , and Banach spaces of continuous functions. . There is a comprehensive bibliography (225 items). The book is understandable and requires only a basic knowledge of functional analysis . . It can be warmly recommended to a broad spectrum of readers - to graduate students, young researchers and also to specialists in the field." (EMS Newsletter, March, 2007)