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Singular Traces
De Gruyter 2012; US$ 126.00This text is the first complete study and monograph dedicated to singular traces. For mathematical readers the text offers, due to Nigel Kalton's contribution, a complete theory of traces on symmetrically normed ideals of compact operators. For mathematical physicists and other users of Connes' noncommutative geometry the text offers a complete reference... more...
Regularization Methods in Banach Spaces
De Gruyter 2012; US$ 140.00Regularization methods aimed at finding stable approximate solutions are a necessary tool to tackle inverse and ill-posed problems. Usually the mathematical model of an inverse problem consists of an operator equation of the first kind and often the associated forward operator acts between Hilbert spaces. However, for numerous problems the reasons... more...
Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
Princeton University Press 2012; US$ 75.00This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence... more...
Convexity and Optimization in Banach Spaces
Springer 2012; US$ 99.99An updated and revised edition of the 1986 title "Convexity and Optimization in Banach Spaces", this book provides a self-contained presentation of basic results of the theory of convex sets and functions in infinite-dimensional spaces. The main emphasis is on applications to convex optimization and convex optimal control problems in Banach... more...
Nonlinear Differential Equations of Monotone Types in Banach Spaces
Springer 2010; US$ 99.00This book is concerned with basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type.This is a monograph about the most significant results obtained in this area in last decades but is also written as a graduate textbook on modern methods in... more...
History of Banach Spaces and Linear Operators
Springer 2007; US$ 129.99Presents a comprehensive treatment of the history of Banach spaces and (abstract bounded) linear operators. This book talks about Banach space theory as a part of a broad mathematics context, using tools from such areas as set theory, topology, algebra, combinatorics, probability theory, logic, etc. more...
Isometries in Banach Spaces
Taylor & Francis 2007; US$ 119.95Covers the work done on characterizing isometries on various Banach spaces. Suitable for both experts and newcomers to the field, this volume discusses the topic in the context of vector-valued function spaces and operator spaces and presents numerous methods and tools used to characterize various types of spaces. more...
Biorthogonal Systems in Banach Spaces
Springer 2007; US$ 69.99Aimed at graduate students and researchers who have a foundation in Banach space theory, this work exposes the reader to some avenues of research in biorthogonal systems in Banach spaces. It provides notes and exercises related to the topic, and suggests open problems and possible new directions of research. It also includes many exercises. more...
Banach Spaces and their Applications in Analysis
De Gruyter 2007; US$ 238.00This volume contains contributions of principal speakers of a conference on Banach Spaces and their applications in analysis, held in May 2006 at Miami, Ohio, in honor of Nigel Kalton's 60th birthday. Its merit lies in the fact that it aims to encompass applications of Banach space methods in different areas of analysis, emphasizing versatility of... more...
