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.




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.




Standing in Space


Book Description




Introduction to Operator Space Theory


Book Description

An introduction to the theory of operator spaces, emphasising applications to C*-algebras.




Henri Lefebvre and Education


Book Description

During his lifetime Henri Lefebvre (1901-1991) was renowned in France as a philosopher, sociologist and activist. Although he published more than 70 books, few were available in English until The Production of Space was translated in 1991. While this work - often associated with geography - has influenced educational theory’s ‘spatial turn,’ educationalists have yet to consider Lefebvre’s work more broadly. This book engages in an educational reading of the selection of Lefebvre’s work that is available in English translation. After introducing Lefebvre’s life and works, the book experiments with his concepts and methods in a series of five ‘spatial histories’ of educational theories. In addition to The Production of Space, these studies develop themes from Lefebvre’s other translated works: Rhythmanalysis, The Explosion, the three volumes of Critique of Everyday Life and a range of his writings on cities, Marxism, technology and the bureaucratic state. In the course of these inquiries, Lefebvre’s own passionate interest in education is uncovered: his critiques of bureaucratised schooling and universities, the analytic concepts he devised to study educational phenomena, and his educational methods. Throughout the book Middleton demonstrates how Lefebvre’s conceptual and methodological tools can enhance the understanding of the spatiotemporal location of educational philosophy and theory. Bridging disciplinary divides, it will be key reading for researchers and academics studying the philosophy, sociology and history of education, as well as those working in fields beyond education including geography, history, cultural studies and sociology.




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.




Space in Theory


Book Description

Space in Theory: Kristeva, Foucault, Deleuze seeks to give a detailed but succinct overview of the role of spatial reflection in three of the most influential French critical thinkers of recent decades. It proposes a step-by-step analysis of the changing place of space in their theories, focussing on the common problematic all three critics address, but highlighting the significant differences between them. It aims to rectify an unaccountable absence of detailed analysis to the significance of space in their work up until now. Space in Theory argues that Kristeva, Foucault and Deleuze address the question: How are meaning and knowledge produced in contemporary society? What makes it possible to speak and think in ways we take for granted? The answer which all three thinkers provide is: space. This space takes various forms: psychic, subjective space in Kristeva, power-knowledge-space in Foucault, and the spaces of life as multiple flows of becoming in Deleuze. This book alternates between analyses of these thinkers’ theoretical texts, and brief digressions into literary texts by Barrico, de Beauvoir, Beckett, Bodrožić or Bonnefoy, via Borges, Forster, Gide, Gilbert, Glissant, Hall, to Kafka, Ondaatje, Perec, Proust, Sartre, Warner and Woolf. These detours through literature aim to render more concrete and accessible the highly complex conceptulization of contemporary spatial theory. This volume is aimed at students, postgraduates and researchers interested in the areas of French poststructuralist theory, spatial reflection, or more generally contemporary cultural theory and cultural studies.




Henri Lefebvre's Critical Theory of Space


Book Description

Henri Lefebvre's Critical Theory of Space offers a rigorous analysis and revival of Lefebvre’s works and the context in which he produced them. Biagi traces the historical-critical time-frame of Lefebvre's intellectual investigations, bringing to light a theoretical constellation in which historical methods intersect with philosophical and sociological issues: from Marxist political philosophy to the birth of urban sociology; from rural studies to urban and everyday life studies in the context of capitalism. Examining Lefebvre’s extended investigations into the urban sphere as well as highlighting his goal of developing a “general political theory of space” and of innovating Marxist thought, and clarifying the various (more or less accurate) meanings attributed to Lefebvre's concept of the “right to the city” (analysed in the context of the French and international sociological and philosophical-political debate), Henri Lefebvre's Critical Theory of Space ultimately brings the contours of Lefebvre’s innovative perspective—itself developed at the end of the “short twentieth century”—back into view in all its richness and complexity.




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




Postmodern Geographies


Book Description

Written by one of America's foremost geographers, Postmodern Geographies contests the tendency, still dominant in most social science, to reduce human geography to a reflective mirror, or, as Marx called it, an "unnecessary complication." Beginning with a powerful critique of historicism and its constraining effects on the geographical imagination, Edward Soja builds on the work of Foucault, Berger, Giddens, Berman, Jameson and, above all, Henri Lefebvre, to argue for a historical and geographical materialism, a radical rethinking of the dialectics of space, time and social being. Soja charts the respatialization of social theory from the still unfolding encounter between Western Marxism and modern geography, through the current debates on the emergence of a postfordist regime of "flexible accumulation." The postmodern geography of Los Angeles, exposed in a provocative pair of essays, serves as a model in his account of the contemporary struggle for control over the social production of space.