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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...
Theory of Linear Operations
Elsevier Science 1987; US$ 191.00This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a 1 x 1 + a 2 x 2 + ... + a n x n of algebra. The book gathers results concerning linear... 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...
Interpolation theory, function spaces, differential operators
Elsevier Science 2000; US$ 250.00This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for... more...
Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces (AM-179)
Princeton University Press 2012; US$ 165.00This 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...
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...
Geometric Aspects of Banach Spaces
Cambridge University Press 1989; US$ 62.00This volume concentrates on some important and contemporary themes in Banach space theory. more...
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Geometry of Banach Spaces
Cambridge University Press 1991; US$ 58.00This volume reflects the progress made in many branches of recent research in Banach space theory and illustrates its interplay with other areas of analysis. more...
