Topics in Banach Space Theory (Graduate Texts in Mathematics, 233)

This text provides the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems. The two new chapters in this second edition are devoted to two topics of much current interest amongst functional analysts: Greedy approximation with respect to bases in Banach spaces and nonlinear geometry of Banach spaces.  This new material is intended to present  these two directions of research for their intrinsic importance within Banach space theory, and to motivate graduate students interested in learning more about them.