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Author:
Publisher:
ISBN:
Category : Operator theory
Languages : en
Pages : 128
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Book Description
Author:
Publisher:
ISBN:
Category : Operator theory
Languages : en
Pages : 128
Get Book Here
Book Description
Author:
Publisher:
ISBN:
Category : Operator theory
Languages : en
Pages : 130
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Book Description
Author: British Library. Document Supply Centre
Publisher:
ISBN:
Category : Conference proceedings
Languages : en
Pages : 836
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Book Description
Author: Aurelian Gheondea
Publisher:
ISBN:
Category : Operator algebras
Languages : en
Pages : 248
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Book Description
Author: Aurelian Gheondea
Publisher:
ISBN:
Category : Operator theory
Languages : en
Pages : 442
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Book Description
This volume contains carefully selected contributions by participants at the Seventeenth International Conference on Operator Theory held at the University of Timisoara (Romania). A large variety of topics are covered, including single operator theory, $C^*$-algebras, spectral theory, special classes of concrete operators, and holomorphic operator functions. The book also includes applications in other areas of mathematics and science.
Author: R?zvan Gelca
Publisher: World Scientific
ISBN: 9814520586
Category : Mathematics
Languages : en
Pages : 469
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Book Description
This book presents the relationship between classical theta functions and knots. It is based on a novel idea of Razvan Gelca and Alejandro Uribe, which converts Weil''s representation of the Heisenberg group on theta functions to a knot theoretical framework, by giving a topological interpretation to a certain induced representation. It also explains how the discrete Fourier transform can be related to 3- and 4-dimensional topology. Theta Functions and Knots can be read in two perspectives. People with an interest in theta functions or knot theory can learn how the two are related. Those interested in ChernOCoSimons theory find here an introduction using the simplest case, that of abelian ChernOCoSimons theory. Moreover, the construction of abelian ChernOCoSimons theory is based entirely on quantum mechanics, and not on quantum field theory as it is usually done. Both the theory of theta functions and low dimensional topology are presented in detail, in order to underline how deep the connection between these two fundamental mathematical subjects is. Hence the book is a self-contained, unified presentation. It is suitable for an advanced graduate course, as well as for self-study. Contents: Some Historical Facts; A Quantum Mechanical Prototype; Surfaces and Curves; The Theta Functions Associated to a Riemann Surface; From Theta Functions to Knots; Some Results About 3- and 4-Dimensional Manifolds; The Discrete Fourier Transform and Topological Quantum Field Theory; Theta Functions and Quantum Groups; An Epilogue OCo Abelian ChernOCoSimons Theory. Readership: Graduate students and young researchers with an interest in complex analysis, mathematical physics, algebra geometry and low dimensional topology.
Author: Jim Agler
Publisher: American Mathematical Society
ISBN: 1470468557
Category : Mathematics
Languages : en
Pages : 330
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Book Description
The book first rigorously develops the theory of reproducing kernel Hilbert spaces. The authors then discuss the Pick problem of finding the function of smallest $H^infty$ norm that has specified values at a finite number of points in the disk. Their viewpoint is to consider $H^infty$ as the multiplier algebra of the Hardy space and to use Hilbert space techniques to solve the problem. This approach generalizes to a wide collection of spaces. The authors then consider the interpolation problem in the space of bounded analytic functions on the bidisk and give a complete description of the solution. They then consider very general interpolation problems. The book includes developments of all the theory that is needed, including operator model theory, the Arveson extension theorem, and the hereditary functional calculus.
Author:
Publisher:
ISBN:
Category : English imprints
Languages : en
Pages : 1294
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Book Description
Author: Kenneth R. Davidson
Publisher: American Mathematical Society, Fields Institute
ISBN: 1470475081
Category : Mathematics
Languages : en
Pages : 325
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Book Description
The subject of C*-algebras received a dramatic revitalization in the 1970s by the introduction of topological methods through the work of Brown, Douglas, and Fillmore on extensions of C*-algebras and Elliott's use of $K$-theory to provide a useful classification of AF algebras. These results were the beginning of a marvelous new set of tools for analyzing concrete C*-algebras. This book is an introductory graduate level text which presents the basics of the subject through a detailed analysis of several important classes of C*-algebras. The development of operator algebras in the last twenty years has been based on a careful study of these special classes. While there are many books on C*-algebras and operator algebras available, this is the first one to attempt to explain the real examples that researchers use to test their hypotheses. Topics include AF algebras, Bunce–Deddens and Cuntz algebras, the Toeplitz algebra, irrational rotation algebras, group C*-algebras, discrete crossed products, abelian C*-algebras (spectral theory and approximate unitary equivalence) and extensions. It also introduces many modern concepts and results in the subject such as real rank zero algebras, topological stable rank, quasidiagonality, and various new constructions. These notes were compiled during the author's participation in the special year on C*-algebras at The Fields Institute for Research in Mathematical Sciences during the 1994–1995 academic year. The field of C*-algebras touches upon many other areas of mathematics such as group representations, dynamical systems, physics, $K$-theory, and topology. The variety of examples offered in this text expose the student to many of these connections. Graduate students with a solid course in functional analysis should be able to read this book. This should prepare them to read much of the current literature. This book is reasonably self-contained, and the author has provided results from other areas when necessary.
Author: World Bank
Publisher: World Bank Publications
ISBN: 1464811474
Category : Business & Economics
Languages : en
Pages : 1217
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Book Description
Fifteen in a series of annual reports comparing business regulation in 190 economies, Doing Business 2018 measures aspects of regulation affecting 10 areas of everyday business activity: • Starting a business • Dealing with construction permits • Getting electricity • Registering property • Getting credit • Protecting minority investors • Paying taxes • Trading across borders • Enforcing contracts • Resolving insolvency These areas are included in the distance to frontier score and ease of doing business ranking. Doing Business also measures features of labor market regulation, which is not included in these two measures. The report updates all indicators as of June 1, 2017, ranks economies on their overall “ease of doing business†?, and analyzes reforms to business regulation †“ identifying which economies are strengthening their business environment the most. Doing Business illustrates how reforms in business regulations are being used to analyze economic outcomes for domestic entrepreneurs and for the wider economy. It is a flagship product produced in partnership by the World Bank Group that garners worldwide attention on regulatory barriers to entrepreneurship. More than 137 economies have used the Doing Business indicators to shape reform agendas and monitor improvements on the ground. In addition, the Doing Business data has generated over 2,182 articles in peer-reviewed academic journals since its inception. Data Notes; Distance to Frontier and Ease of Doing Business Ranking; and Summaries of Doing Business Reforms in 2016/17 can be downloaded separately from the Doing Business website.
