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Author: E. Christopher Lance
Publisher: Cambridge University Press
ISBN: 052147910X
Category : Mathematics
Languages : en
Pages : 144
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Book Description
Hilbert C*-modules are objects like Hilbert spaces, except that the inner product, instead of being complex valued, takes its values in a C*-algebra. The theory of these modules, together with their bounded and unbounded operators, is not only rich and attractive in its own right but forms an infrastructure for some of the most important research topics in operator algebras. This book is based on a series of lectures given by Professor Lance at a summer school at the University of Trondheim. It provides, for the first time, a clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material. It will be welcomed as an excellent resource for all graduate students and researchers working in operator algebras.
Author: E. Christopher Lance
Publisher: Cambridge University Press
ISBN: 052147910X
Category : Mathematics
Languages : en
Pages : 144
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Book Description
Hilbert C*-modules are objects like Hilbert spaces, except that the inner product, instead of being complex valued, takes its values in a C*-algebra. The theory of these modules, together with their bounded and unbounded operators, is not only rich and attractive in its own right but forms an infrastructure for some of the most important research topics in operator algebras. This book is based on a series of lectures given by Professor Lance at a summer school at the University of Trondheim. It provides, for the first time, a clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material. It will be welcomed as an excellent resource for all graduate students and researchers working in operator algebras.
Author: Vladimir Markovich Manuĭlov
Publisher: American Mathematical Soc.
ISBN: 9780821889664
Category : Mathematics
Languages : en
Pages : 216
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Book Description
Based on lectures delivered by the authors at Moscow State University, this volume presents a detailed introduction to the theory of Hilbert $C*$-modules. Hilbert $C*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C $ is replaced by an arbitrary $C*$-algebra. The general theory of Hilbert $C*$-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool inoperator algebras theory, index theory of elliptic operators, $K$- and $KK$-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert $C*$-modules is interesting on its own. In this book, the authors explain in detail the basic notions and results of thetheory, and provide a number of important examples. Some results related to the authors' research interests are also included. A large part of the book is devoted to structural results (self-duality, reflexivity) and to nonadjointable operators. Most of the book can be read with only a basic knowledge of functional analysis; however, some experience in the theory of operator algebras makes reading easier.
Author: Klaus Thomsen
Publisher:
ISBN:
Category : C*-algebras
Languages : en
Pages : 154
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Book Description
Author: Albrecht Böttcher
Publisher: Springer
ISBN: 3319759965
Category : Mathematics
Languages : en
Pages : 506
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Book Description
This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017. The contributions include both expository essays and original research papers illustrating the diversity and beauty of insights gained by applying operator theory to concrete problems. The topics range from control theory, frame theory, Toeplitz and singular integral operators, Schrödinger, Dirac, and Kortweg-de Vries operators, Fourier integral operator zeta-functions, C*-algebras and Hilbert C*-modules to questions from harmonic analysis, Monte Carlo integration, Fibonacci Hamiltonians, and many more. The book offers researchers in operator theory open problems from applications that might stimulate their work and shows those from various applied fields, such as physics, engineering, or numerical mathematics how to use the potential of operator theory to tackle interesting practical problems.
Author: Vladimir Markovich Manuĭlov
Publisher:
ISBN: 9781470446505
Category : C*-algebras
Languages : en
Pages :
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Book Description
Hilbert C^*-modules provide a natural generalization of Hilbert spaces arising when the field of scalars \mathbf{C} is replaced by an arbitrary C^*-algebra. The general theory of Hilbert C^*-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool in operator algebras theory, in index theory of elliptic operators, in K- and KK-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert C^*-modules is interesting on its own. The present book is an introduction to the theory of Hi.
Author: Lunchuan Zhang
Publisher: Springer Nature
ISBN: 9819986680
Category :
Languages : en
Pages : 222
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Book Description
Author: Vladimir Markovich Manuĭlov
Publisher: American Mathematical Soc.
ISBN: 9780821838105
Category : Mathematics
Languages : en
Pages : 202
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Book Description
Hilbert $C^*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C}$ is replaced by an arbitrary $C^*$-algebra. The general theory of Hilbert $C^*$-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool in operator algebras theory, in index theory of elliptic operators, in $K$- and $KK$-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert $C^*$-modules is interesting on its own. The present book is an introduction to the theory of Hilbert $C^*$-modules. The authors explain in detail the basic notions and results of the theory, and provide a number of important examples. Some results related to the authors' research interests are also included. A large part of the book is devoted to structural results (self-duality, reflexivity) and to nonadjointable operators. Most of the book can be read with only a basic knowledge of functional analysis; however, some experience in the theory of operator algebras makes reading easier.
Author: R. N. Mohapatra
Publisher: Springer Nature
ISBN: 9813346469
Category : Mathematics
Languages : en
Pages : 661
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Book Description
This book is a collection of selected papers presented at the International Conference on Mathematical Analysis and Computing (ICMAC 2019) held at Sri Sivasubramaniya Nadar College of Engineering, Chennai, India, from 23–24 December 2019. Having found its applications in game theory, economics, and operations research, mathematical analysis plays an important role in analyzing models of physical systems and provides a sound logical base for problems stated in a qualitative manner. This book aims at disseminating recent advances in areas of mathematical analysis, soft computing, approximation and optimization through original research articles and expository survey papers. This book will be of value to research scholars, professors, and industrialists working in these areas.
Author: Yin Fun Ng
Publisher:
ISBN:
Category : C*-algebras
Languages : en
Pages : 102
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Book Description
Author: Ronald G. Douglas
Publisher: Longman
ISBN:
Category : Function algebras
Languages : en
Pages : 150
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Book Description
