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- Oxford University Press 2010; US$ 61.99
Banach spaces and algebras are a key topic of pure mathematics. Graham Allan's careful and detailed introductory account will prove essential reading for anyone wishing to specialise in functional analysis and is aimed at final year undergraduates or masters level students. Based on the author's lectures to fourth year students at Cambridge... more...
- World Scientific Publishing Company 2009; US$ 113.00
The book provides a comprehensive overview of the characterizations of real normed spaces as inner product spaces based on norm derivatives and generalizations of the most basic geometrical properties of triangles in normed spaces. Since the appearance of Jordan-von Neumann's classical theorem (The Parallelogram Law) in 1935, the field of characterizations... more...
- Springer 2006; US$ 59.95
Introduces graduate students and researchers to the study of the geometry of Banach spaces using combinatorial methods. This book shows, for example, how to introduce a conditional structure to a given Banach space under construction that allows us to essentially prescribe the corresponding space of non-strictly singular operators. more...
- Springer 2010; US$ 189.00
The book is a commemorative volume honoring the mathematician Paul R. Halmos (1916-2006), who contributed passionately to mathematics in manifold ways, among them by basic research, by unparalleled mathematical exposition, by unselfish service to the mathematical community, and, not least, by the inspiration others found in his dedication to that community.... more...
- Elsevier Science 1987; US$ 72.95
This 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...
- Springer 2010; US$ 119.00
This 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...
- Springer 2012; US$ 129.00
An 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...
- Cambridge University Press 1971; US$ 52.00
The authors develop various applications, in particular to the study of Banach algebras where the numerical range provides an important link between the algebraic and metric structures. more...
- Elsevier Science 1991; US$ 72.95
The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory... more...