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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 The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory.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.
Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The collection will help to establish a number of new links between various sub-disciplines of semigroup theory, stochastic processes, differential equations and the applied fields. The theory of semigroups of operators is a well-developed branch of functional analysis. Its foundations were laid at the beginnin...
Written by an author who was at the forefront of developments in multivariable spectral theory during the seventies and the eighties, this book describes the spectral mapping theorem in various settings. In this second edition, the Bluffer's Guide has been revised and expanded, whilst preserving the engaging style of the first. Starting with a summary of the basic algebraic systems – semigroups, rings and linear algebras – the book quickly turns to topological-algebraic systems, including Banach algebras, to set up the basic language of algebra and analysis. Key aspects of spectral theory are covered, in one and several variables. Finally the case of an arbitrary set of variables is discussed. Spectral Mapping Theorems is an accessible and easy-to-read guide, providing a convenient overview of the topic to both students and researchers. From the reviews of the first edition "I certainly plan to add it to my own mathematical library" — Anthony Wickstead in the Irish Mathematical Society Bulletin "An excellent read" — Milena Stanislavova in the Mathematical Reviews "[Offers] a fresh perspective even for experts [...] Recommended" — David Feldman in Choice
For many centuries Jews and Germans were economically and culturally of significant importance in East-Central and Eastern Europe. Since both groups had a very similar background of origin (Central Europe) and spoke languages which are related to each other (German/Yiddish), the question arises to what extent Jews and Germans in Eastern Europe share common historical developments and experiences. This volume aims to explore not only entanglements and interdependences of Jews and Germans in Eastern Europe from the late middle ages to the 20th century, but also comparative aspects of these two communities. Moreover, the perception of Jews as Germans in this region is also discussed in detail.
This book examines the international impact of Bolshevism in the period between the two World Wars. It explores both the significance of the ‘Bolshevik threat’ in European countries and colonies, as well as its spread through the circulation of ideas and people during this period. Focusing on the interplay between international relations and domestic politics, the volume analyses the rise of Bolshevism on the international stage, incorporating insights from India and China. The chapters show how the interwar international order was challenged by the ideology, which infiltrated a range of political societies. While it was incapable of overthrowing national systems, Bolshevism constituted a credible threat, which favoured the spread of fascist and nationalist trends. Offering the first detailed account of the Bolshevik danger at an international level, the book draws on multi-national and multiarchival research to examine how the peril of Bolshevism paradoxically allowed a stabilization of the post-World War I Versailles system.
The Bohemian Body examines the modernist forces within nineteenth- and twentieth-century Europe that helped shape both Czech nationalism and artistic interaction among ethnic and social groups—Czechs and Germans, men and women, gays and straights. By re-examining the work of key Czech male and female writers and poets from the National Revival to the Velvet Revolution, Alfred Thomas exposes the tendency of Czech literary criticism to separate the political and the personal in modern Czech culture. He points instead to the complex interplay of the political and the personal across ethnic, cultural, and intellectual lines and within the works of such individual writers as Karel Hynek Mácha, Bozena Nemcová, and Rainer Maria Rilke, resulting in the emergence and evolution of a protean modern identity. The product is a seemingly paradoxical yet nuanced understanding of Czech culture (including literature, opera, and film), long overlooked or misunderstood by Western scholars.
Documents the evolutionary development of the nation's cinema and its film artists, focusing on the period between 1896 and the death of Eisenstein in 1948.
"The Encyclopedia of Library and Information Science provides an outstanding resource in 33 published volumes with 2 helpful indexes. This thorough reference set--written by 1300 eminent, international experts--offers librarians, information/computer scientists, bibliographers, documentalists, systems analysts, and students, convenient access to the techniques and tools of both library and information science. Impeccably researched, cross referenced, alphabetized by subject, and generously illustrated, the Encyclopedia of Library and Information Science integrates the essential theoretical and practical information accumulating in this rapidly growing field."
This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000. The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.
Originally published: New York: Marcel Dekker, Inc., 1988.