This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups. By encompassing important foundational material, contemporary research, and recent advancements, this monograph offers a state-of-the-art reference. It will appeal to anyone interested in questions of amenability, including those familiar with the author’s previous volume Lectures on Amenability. Cornerstone topics are covered first: namely, the theory of amenability, its historical context, and key properties of amenable groups. This introduction leads to the amenability of Banach algebras, which is the main focus of the book. Dual Banach algebras are given an in-depth exploration, as are Banach spaces, Banach homological algebra, and more. By covering amenability’s many applications, the author offers a simultaneously expansive and detailed treatment. Additionally, there are numerous exercises and notes at the end of every chapter that further elaborate on the chapter’s contents. Because it covers both the basics and cutting edge research, Amenable Banach Algebras will be indispensable to both graduate students and researchers working in functional analysis, harmonic analysis, topological groups, and Banach algebras. Instructors seeking to design an advanced course around this subject will appreciate the student-friendly elements; a prerequisite of functional analysis, abstract harmonic analysis, and Banach algebra theory is assumed.
This should be a revelation for mathematics undergraduates. Having evolved from Runde’s notes for an introductory topology course at the University of Alberta, this essential text provides a concise introduction to set-theoretic topology, as well as some algebraic topology. It is accessible to undergraduates from the second year on, and even beginning graduate students can benefit from some sections. The well-chosen selection of examples is accessible to students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In places, Runde’s text treats its material differently to other books on the subject, providing a fresh perspective.
The notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a certain group action? Since the 1940s, amenability has become an important concept in abstract harmonic analysis (or rather, more generally, in the theory of semitopological semigroups). In 1972, B.E. Johnson showed that the amenability of a locally compact group G can be characterized in terms of the Hochschild cohomology of its group algebra L^1(G): this initiated the theory of amenable Banach algebras. Since then, amenability has penetrated other branches of mathematics, such as von Neumann algebras, operator spaces, and even differential geometry. Lectures on Amenability introduces second year graduate students to this fascinating area of modern mathematics and leads them to a level from where they can go on to read original papers on the subject. Numerous exercises are interspersed in the text.
This proceedings volume is from the international conference on Banach Algebras and Their Applications held at the University of Alberta (Edmonton). It contains a collection of refereed research papers and high-level expository articles that offer a panorama of Banach algebra theory and its manifold applications. Topics in the book range from - theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.
This volume provides readers with a detailed introduction to the amenability of Banach algebras and locally compact groups. By encompassing important foundational material, contemporary research, and recent advancements, this monograph offers a state-of-the-art reference. It will appeal to anyone interested in questions of amenability, including those familiar with the author’s previous volume Lectures on Amenability. Cornerstone topics are covered first: namely, the theory of amenability, its historical context, and key properties of amenable groups. This introduction leads to the amenability of Banach algebras, which is the main focus of the book. Dual Banach algebras are given an in-depth exploration, as are Banach spaces, Banach homological algebra, and more. By covering amenability’s many applications, the author offers a simultaneously expansive and detailed treatment. Additionally, there are numerous exercises and notes at the end of every chapter that further elaborate on the chapter’s contents. Because it covers both the basics and cutting edge research, Amenable Banach Algebras will be indispensable to both graduate students and researchers working in functional analysis, harmonic analysis, topological groups, and Banach algebras. Instructors seeking to design an advanced course around this subject will appreciate the student-friendly elements; a prerequisite of functional analysis, abstract harmonic analysis, and Banach algebra theory is assumed.
This should be a revelation for mathematics undergraduates. Having evolved from Runde’s notes for an introductory topology course at the University of Alberta, this essential text provides a concise introduction to set-theoretic topology, as well as some algebraic topology. It is accessible to undergraduates from the second year on, and even beginning graduate students can benefit from some sections. The well-chosen selection of examples is accessible to students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In places, Runde’s text treats its material differently to other books on the subject, providing a fresh perspective.
The notion of amenability has its origins in the beginnings of modern measure theory: Does a finitely additive set function exist which is invariant under a certain group action? Since the 1940s, amenability has become an important concept in abstract harmonic analysis (or rather, more generally, in the theory of semitopological semigroups). In 1972, B.E. Johnson showed that the amenability of a locally compact group G can be characterized in terms of the Hochschild cohomology of its group algebra L^1(G): this initiated the theory of amenable Banach algebras. Since then, amenability has penetrated other branches of mathematics, such as von Neumann algebras, operator spaces, and even differential geometry. Lectures on Amenability introduces second year graduate students to this fascinating area of modern mathematics and leads them to a level from where they can go on to read original papers on the subject. Numerous exercises are interspersed in the text.
This proceedings volume is from the international conference on Banach Algebras and Their Applications held at the University of Alberta (Edmonton). It contains a collection of refereed research papers and high-level expository articles that offer a panorama of Banach algebra theory and its manifold applications. Topics in the book range from - theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.
The third edition of this popular core textbook provides wide-ranging coverage of the structure, internal working, policies and performance of international organizations such as the UN, EU, IMF and World Bank. Such organizations have never been so important in addressing the challenges that face our increasingly globalised world. This book introduces students to theories with which to approach international organizations, their history, and their ability to respond to contemporary issues in world politics from nuclear disarmament, climate change and human rights protection, to trade, monetary and financial relations, and international development. Underpinning the text is the authors' unique model that views international organizations as actual organizations. Reacting to world events, political actors provide the 'inputs' which are converted by the political systems of these organizations (through various decision-making procedures) into 'outputs' that achieve varying levels of real-world impact and effectiveness. This is the perfect text for undergraduate and postgraduate students of politics and international relations taking courses on International organization and global governance, as well as essential reading for those studying the UN, the EU and Globalization. New to this Edition: - Draws on the most recent research in the field and considers some of the significant world events of the last decade to ensure that the book is completely up to date. - Two separate chapters considering Trade and Development, and Finance and Monetary Relations respectively. - Fully accounts for the challenges to international organizations by the emerging powers, the Trump administration and Brexit
This is a bilingual edition of Ernst Mach's classic 1875 text on the vestibular system. Mach was an eminent physicist who worked on the speed of sound (Mach as the unit of sound speed), on visual perception (Mach bands which describe contrast phenomena), mechanics (Einstein specifically refers to him as a decisive influence), and created the philosophical foundation of positivism. Mach's work is central to the consideration of processing and human movement perception - a topic of considerable current interest. The early insights and examples Mach provides are instructive, and largely unknown nowadays. Bound along with the text is a CD-ROM, which includes, among other things, the English version of the text, extensive biographies, references, articles, and links to the footnotes.
In früheren Zeiten war die Vergegenwärtigung und Akzeptanz von Naturgeistern und Naturerscheinungen gang und gäbe und ein Zeichen für ein Miteinander von Mensch und Natur. Heute ist der Mensch in seinem Alltag oftmals so verhaftet, dass er schlichtweg blind und empfindungslos gegenüber den speziellen Dingen in der Natur geworden ist. Oftmals werden in unserer Zeit Pflanzen rein als Abstandsgrün oder als bloßer Schmuck im Garten gesehen. Das möchte ich ändern, zumindest will ich Ihnen eine neue, alternative Sicht auf die Pflanzenwelt ermöglichen. Das hat vielleicht nicht nur mit einem Genau-Hinsehen etwas zu tun, sondern auch etwas mit Träumen. Stellen Sie sich vor, ich hätte recht, das würde die Betrachtung der gesamten Natur zum Positiven hin ändern. Alle Bilder sind absolut echt und unverändert. Bitte nehmen Sie sich für die Betrachtung ausreichend Zeit, etwa wie bei Vexierbildern. Bedenken Sie bitte, dass die Bilder im Grunde genommen ,,Gemälde der Natur" sind.
Influenced by Hegel and Nietzsche, and inspired by stays in Italy and France, as well as travels to Russia, Spain, and North Africa, Rainer Maria Rilke nevertheless sought desperately to be original. He rejected all «idées reçues, » whether they were of God, reality, or literature, instead creating his own absolute. He searched for the «real, » re-formed German poetry, and revolutionized Western narrative prose with Malte Laurids Brigge. While Rilke's work is marked by two cesuras, after which it displays important advances in diction and the figuration of verbal icons, it becomes ever more esoteric. However, there are also constants throughout his oeuvre in thematics, topoi, and diction - for example, the preoccupation with death, figures such as the angel, key nouns, alliterations, and noun sequences. His fear of death drove him to adopt «the open, » an idea conceived by the dubious mystagogue Alfred Schuler that surfaces throughout Rilke's poetry and triumphs in Sonnets to Orpheus and Duino Elegies.
Arno Schmidt (1914-1979) is considered one of the most daring and influential writers of postwar Germany; the Germanist Jeremy Adler has called him a "giant of postwar German literature." Schmidt was awarded the Fontane Prize in 1964 and the Goethe Prize in 1973, and his early fiction has been translated into English to high critical acclaim, but he is not a well-known figure in the English-speaking world, where his complex work remains at the margins of critical inquiry. Volker Langbehn's book introduces Schmidt to the English-speaking audience, with primary emphasis on his most famous novel, Zettel's Traum. One reviewer called the book an "elephantine monster" because of its unconventional size (folio format), length (1334 pages and over 10 million characters), and unique presentation of text in the form of notes, typewritten pages, parallel columns, and collages. The novel narrates the life of the main characters, Daniel Pagenstecher, Paul Jacobi and his wife Wilma, and their teenage daughter Franziska. In discussing the life and works of Edgar Allan Poe, the four engage in the problems connected with a translation of Poe. Langbehn's study investigates how literary language can mediate or account for the world of experiences and for concepts. Schmidt's use of unconventional presentation formats challenges us to analyze how we think about reading and writing literary texts. Instead of viewing such texts as a representation of reality, Schmidt's novel destabilizes this unquestioned mode of representation, posing a radical challenge to what contemporary literary criticism defines as literature. No comprehensive study of Zettel's Traum exists in English.Volker Langbehn is assistant professor of German at San Francisco State University.
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