A Theory of Cross-Spaces. (AM-26), Volume 26


Book Description

The description for this book, A Theory of Cross-Spaces. (AM-26), Volume 26, will be forthcoming.




A Theory of Cross-Spaces


Book Description

The description for this book, A Theory of Cross-Spaces. (AM-26), Volume 26, will be forthcoming.




In the Space of Theory


Book Description

How is the meaning of the hyphen in “nation-state” changing in the context of globalization and proliferating political struggles? How can we investigate the transformation of the nation-state by marking the normally unmarked hyphen in “geo-graphy”? Debunking deterritorialization both as a discourse and as an antiessentialist abstraction, Matthew Sparke offers answers to these questions by examining the contemporary geographies of the United States and Canada. In the Space of Theory details the territorial implications of the Iraq war, NAFTA, welfare reform, constitutional reform, cross-border regional development, and the legal battles of First Nations. In using antiessentialist arguments to elucidate the complexity of these developments, Sparke seeks to ground and critique postfoundational theory itself. He shows how the postfoundational arguments of Homi Bhabha, Arjun Appadurai, Timothy Mitchell, Ernesto Laclau, Chantal Mouffe, Michael Hardt, and Antonio Negri obscure politically important processes of reterritorialization at the same time they deterritorialize diverse theoretical assumptions about the nation-state. Engaged with theory and grounded in close study of cultural, political, and economic change, In the Space of Theory explores the geographies of struggle that at once underlie and undermine the hyphen in contemporary nation-states. Matthew Sparke is associate professor of geography and international studies at the University of Washington.




Spaces of Global Capitalism


Book Description

Fiscal crises have cascaded across much of the developing world with devastating results, from Mexico to Indonesia, Russia and Argentina. The extreme volatility in contemporary political economic fortunes seems to mock our best efforts to understand the forces that drive development in the world economy. David Harvey is the single most important geographer writing today and a leading social theorist of our age, offering a comprehensive critique of contemporary capitalism. In this fascinating book, he shows the way forward for just such an understanding, enlarging upon the key themes in his recent work: the development of neoliberalism, the spread of inequalities across the globe, and ‘space’ as a key theoretical concept. Both a major declaration of a new research programme and a concise introduction to David Harvey’s central concerns, this book will be essential reading for scholars and students across the humanities and social sciences.




Space and Social Theory


Book Description

The importance of the spatial dimension of the structure, organization and experience of social relations is fundamental for sociological analysis and understanding. Space and Social Theory is an essential primer on the theories of space and inherent spatiality, guiding readers through the contributions of key and influential theorists: Marx, Simmel, Lefebvre, Harvey and Foucault. Giving an essential and accessible overview of social theories of space, this books shows why it matters to understand these theorists spatially. It will be of interest to upper level students and researchers of social theory, urban sociology, urban studies, human geography, and urban politics.




Banach Space Theory


Book Description

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space theory. Key Features: - Develops classical theory, including weak topologies, locally convex space, Schauder bases and compact operator theory - Covers Radon-Nikodým property, finite-dimensional spaces and local theory on tensor products - Contains sections on uniform homeomorphisms and non-linear theory, Rosenthal's L1 theorem, fixed points, and more - Includes information about further topics and directions of research and some open problems at the end of each chapter - Provides numerous exercises for practice The text is suitable for graduate courses or for independent study. Prerequisites include basic courses in calculus and linear. Researchers in functional analysis will also benefit for this book as it can serve as a reference book.







Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras


Book Description

This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.




Fredholm Theory in Banach Spaces


Book Description

Presents analogues for operators on Banach spaces of Fredholm's solution of integral equations of the second kind.




Topics in Banach Space Theory


Book Description

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. This textbook assumes only a basic knowledge of functional analysis, giving the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) and spaces of continuous functions. The authors also stress the use of bases and basic sequences techniques as a tool for understanding the isomorphic structure of Banach spaces. From the reviews of the First Edition: "The authors of the book...succeeded admirably in creating a very helpful text, which contains essential topics with optimal proofs, while being reader friendly... It is also written in a lively manner, and its involved mathematical proofs are elucidated and illustrated by motivations, explanations and occasional historical comments... I strongly recommend to every graduate student who wants to get acquainted with this exciting part of functional analysis the instructive and pleasant reading of this book..."—Gilles Godefroy, Mathematical Reviews