Professor Jerzy Lukierski, an outstanding specialist in the domain of quantum groups, will reach on May 21, 1995 the age of sixty. This is a birthday volume dedicated to him. It assumes the form of a collection of papers on a wide range of topics in modern research area from theoretical high energy physics to mathematical physics. Various topics of quantum groups will be treated with a special emphasis. Quantum groups is nowadays a very fashionable subject both in mathematics and high energy physics.
Professor Jerzy Lukierski, an outstanding specialist in the domain of quantum groups, will reach on May 21, 1995 the age of sixty. This is a birthday volume dedicated to him. It assumes the form of a collection of papers on a wide range of topics in modern research area from theoretical high energy physics to mathematical physics. Various topics of quantum groups will be treated with a special emphasis. Quantum groups is nowadays a very fashionable subject both in mathematics and high energy physics.
This monograph provides a systematic treatment of the abstract theory of adjoint semigroups. After presenting the basic elementary results, the following topics are treated in detail: The sigma (X, X )-topology, -reflexivity, the Favard class, Hille-Yosida operators, interpolation and extrapolation, weak -continuous semigroups, the codimension of X in X , adjoint semigroups and the Radon-Nikodym property, tensor products of semigroups and duality, positive semigroups and multiplication semigroups. The major part of the material is reasonably self-contained and is accessible to anyone with basic knowledge of semi- group theory and Banach space theory. Most of the results are proved in detail. The book is addressed primarily to researchers working in semigroup theory, but in view of the "Banach space theory" flavour of many of the results, it will also be of interest to Banach space geometers and operator theorists.
This book indicates the most optimal solutions for the growing civilization problem related to climate change that takes place more and more rapidly on our planet. It is divided into two parts: In the first part, the authors - based on the available analyses and reports on climate change taking place on Earth - present their own point of view in relation to the above issue, while trying to find answers to the following questions: · Why is it so difficult to admit that humans are responsible for the ongoing climate change? · Will climate change destroy life on Earth? · Can science and modern technologies stop this process? In the second part of the book, the authors propose a solution for the advancing climate change, regarding the reduction of CO2 emissions coming mainly from the energy sector. On the basis of scientific achievements and implementations of research institutions in Poland, especially the Institute of Fluid-Flow Machinery of the Polish Academy of Sciences in Gdansk, the book proposes directions of development of the energy transformation in Poland and other countries for which fossil fuels currently make a large contribution to the energy production process and are the main emitter of CO2 to the atmosphere. The book is addressed to citizens, ecologists, climatologists as well as politicians and experts responsible for shaping the climate and energy policy of the country level and also the world.
This ambitious and vivid study in six volumes explores the journey of a single, electrifying story, from its first incarnation in a medieval French poem through its prolific rebirth in the nineteenth and twentieth centuries. The Juggler of Notre Dame tells how an entertainer abandons the world to join a monastery, but is suspected of blasphemy after dancing his devotion before a statue of the Madonna in the crypt; he is saved when the statue, delighted by his skill, miraculously comes to life. Jan Ziolkowski tracks the poem from its medieval roots to its rediscovery in late nineteenth-century Paris, before its translation into English in Britain and the United States. The visual influence of the tale on Gothic revivalism and vice versa in America is carefully documented with lavish and inventive illustrations, and Ziolkowski concludes with an examination of the explosion of interest in The Juggler of Notre Dame in the twentieth century and its place in mass culture today. The Juggler of Notre Dame and the Medievalizing of Modernity is a rich case study for the reception of the Middle Ages in modernity. Spanning centuries and continents, the medieval period is understood through the lens of its (post)modern reception in Europe and America. Profound connections between the verbal and the visual are illustrated by a rich trove of images, including book illustrations, stained glass, postage stamps, architecture, and Christmas cards. Presented with great clarity and simplicity, Ziolkowski's work is accessible to the general reader, while its many new discoveries will be valuable to academics in such fields and disciplines as medieval studies, medievalism, philology, literary history, art history, folklore, performance studies, and reception studies.
This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.
This third volume of Analysis in Banach Spaces offers a systematic treatment of Banach space-valued singular integrals, Fourier transforms, and function spaces. It further develops and ramifies the theory of functional calculus from Volume II and describes applications of these new notions and tools to the problem of maximal regularity of evolution equations. The exposition provides a unified treatment of a large body of results, much of which has previously only been available in the form of research papers. Some of the more classical topics are presented in a novel way using modern techniques amenable to a vector-valued treatment. Thanks to its accessible style with complete and detailed proofs, this book will be an invaluable reference for researchers interested in functional analysis, harmonic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
The chapters on Clifford algebra and differential geometry can be used as an introduction to the topics, and are suitable for senior undergraduates and graduates. The other chapters are also accessible at this level.; This self-contained book requires very little previous knowledge of the domains covered, although the reader will benefit from knowledge of complex analysis, which gives the basic example of a Dirac operator.; The more advanced reader will appreciate the fresh approach to the theory, as well as the new results on boundary value theory.; Concise, but self-contained text at the introductory grad level. Systematic exposition.; Clusters well with other Birkhäuser titles in mathematical physics.; Appendix. General Manifolds * List of Symbols * Bibliography * Index
Famed mathematician Alexander Grothendieck, in his Resume, set forth his plan for the study of the finer structure of Banach spaces. He used tensor products as a foundation upon which he built the classes of operators most important to the study of Banach spaces and established the importance of the "local" theory in the study of these operators and the spaces they act upon. When Lintenstrauss and Pelczynski addressed his work at the rebirth of Banach space theory, they shed his Fundamental Inequality in the trappings of operator ideals by shedding the tensorial formulation. The authors of this book, however, feel that there is much of value in Grothendieck's original formulations in the Resume and here endeavor to "expose the Resume" by presenting most of Grothendieck's arguments using the mathematical tools that were available to him at the time.
In this two-part anthology, Jan M. Ziolkowski builds on themes uncovered in his earlier The Juggler of Notre Dame and the Medievalizing of Modernity. Here he focuses particularly on the performing arts. Part one contextualises Our Lady’s Tumbler, a French poem of the late 1230s, by comparing it with episodes in the Bible and miracles in a wide variety of medieval European sources. It relates this material to analogues and folklore across the ages from, among others, Persian, Jewish and Hungarian cultures. Part two scrutinizes the reception and impact of the poem with reference to modern European and American literature, including works by the Nobel prize-winner Anatole France, professor-poet Katharine Lee Bates, philosopher-historian Henry Adams and poet W.H. Auden. This innovative collection of sources introduces readers to many previously untranslated texts, and invites them to explore the journey of Our Lady’s Tumbler across both sides of the Atlantic. Reading the Juggler of Notre Dame: Medieval Miracles and Modern Remakings will benefit scholars and students alike. The short introductions and numerous annotations shed light on unusual beliefs and practices of the past, making the readings accessible to anyone with an interest in the arts and an openness to the Middle Ages.
The law plays an ambiguous role in running business. While legal tools can be used to tame uncertainties, for example, by concluding contracts to safeguard enforcement of future claims, they can also generate uncertainty. These secondary uncertainties like ones stemming from vague rights and obligations may be counterbalanced by using different resources and strategies, including acting informally, modifying business plans or accepting the losses from unpaid dues. This book discusses how small and medium enterprises use the law, abstain from using the law, and use alternative pathways to manage business uncertainties. Examining these topics through the lenses of an extensive qualitative and quantitative empirical study on justiciable issues, access to justice and legal uncertainty among SMEs in Poland, it implements and expands upon the paradigmatic paths to justice methodology which has been successfully used to study conflict resolution, access to justice and utilisation of the law by individuals in more than 30 jurisdictions. It argues that the grand promise of modern law - that it is a certainty-providing, neutral and democratic device to resolve problems and conflicts - is not fully delivered. It reveals how the conditions of a freshly developed capitalism combined with the rule of law backsliding contribute to universal, structural problems with access to justice meaning that accessing justice is a resource-hungry process, which incentivises small businesses to settle for their legal problems and engage in informal and alternative strategies.
Shells are basic structural elements of modern technology and everyday life. Examples are automobile bodies, water and oil tanks, pipelines, aircraft fuselages, nanotubes, graphene sheets or beer cans. Also nature is full of living shells such as leaves of trees, blooming flowers, seashells, cell membranes, the double helix of DNA or wings of insec
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