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Handbook of the Geometry of Banach Spaces
Handbook of the Geometry of Banach Spaces
Selected Papers on Classical Analysis
This volume contains papers that originally appeared in Japanese in the journal Sugaku. Ordinarily the papers would appear in the AMS translation of that journal, but to expedite publication, the Society has chosen to publish them as a volume of selected papers. The papers here are in the general area of mathematical analysis as it pertains to free probability theory.
DNA Repair and Cancer
DNA repair is a rapidly advancing field in biology and these systems represent a major defense mechanism against environmental and intracellular damaging agents such as sunlight, ionizing radiation, and reactive oxygen species. With contributions from eminent researchers, this book explores the basics and current trends in this critical field. Topics include carcinogenesis as a predictive and/or prognostic biomarker for cancer therapy, nucleotide excision repair, and tumor genetics and personalized medicine. The contributions provide essential information to scientists, pharmaceutical investigators, and clinicians interested in cancer therapy.
The Kidney
This volume provides a practical, comprehensive overview on benign and malignant disease of the adult kidney. The text addresses the topic of assessment and management of patients with surgical renal disease. Within this scope, it includes hereditary and spontaneous renal neoplasms, as well as non-neoplastic disease that manifests as a clinically relevant mass. The book is organized into chapters focusing on discrete disease entities and incorporating pathology, surgical management, oncologic therapy, radiologic findings, and molecular alterations. This text is designed to address relevant areas of clinical management of renal neoplastic and non-neoplastic disease across multiple specialties and levels of training. Written by experts in the field, The Kidney: A Comprehensive Guide to Pathologic Diagnosis and Management is a valuable resource on the diagnosis and management of patients with not only renal cell carcinoma, but also other renal processes that require surgical intervention.
Information Theory and Stochastics for Multiscale Nonlinear Systems
This book introduces mathematicians to the fascinating mathematical interplay between ideas from stochastics and information theory and practical issues in studying complex multiscale nonlinear systems. It emphasizes the serendipity between modern applied mathematics and applications where rigorous analysis, the development of qualitative and/or asymptotic models, and numerical modeling all interact to explain complex phenomena. After a brief introduction to the emerging issues in multiscale modeling, the book has three main chapters. The first chapter is an introduction to information theory with novel applications to statistical mechanics, predictability, and Jupiter's Red Spot for geophys...
Positivity and its Applications
This proceedings volume features selected contributions from the conference Positivity X. The field of positivity deals with ordered mathematical structures and their applications. At the biannual series of Positivity conferences, the latest developments in this diverse field are presented. The 2019 edition was no different, with lectures covering a broad spectrum of topics, including vector and Banach lattices and operators on such spaces, abstract stochastic processes in an ordered setting, the theory and applications of positive semi-groups to partial differential equations, Hilbert geometries, positivity in Banach algebras and, in particular, operator algebras, as well as applications to...
Nigel J. Kalton Selecta
This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory, and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.
Operator Algebras
The theme of the first Abel Symposium was operator algebras in a wide sense. In the last 40 years operator algebras have developed from a rather special discipline within functional analysis to become a central field in mathematics often described as "non-commutative geometry". It has branched out in several sub-disciplines and made contact with other subjects. The contributions to this volume give a state-of-the-art account of some of these sub-disciplines and the variety of topics reflect to some extent how the subject has developed. This is the first volume in a prestigious new book series linked to the Abel prize.
Convexity Properties of Hamiltonian Group Actions
This is a monograph on convexity properties of moment mappings in symplectic geometry. The fundamental result in this subject is the Kirwan convexity theorem, which describes the image of a moment map in terms of linear inequalities. This theorem bears a close relationship to perplexing old puzzles from linear algebra, such as the Horn problem on sums of Hermitian matrices, on which considerable progress has been made in recent years following a breakthrough by Klyachko. The book presents a simple local model for the moment polytope, valid in the "generic" case, and an elementary Morse-theoretic argument deriving the Klyachko inequalities and some of their generalizations. It reviews various...
