Hilbert C Modules
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Author | : E. Christopher Lance |
Publisher | : Cambridge University Press |
Total Pages | : 144 |
Release | : 1995-03-16 |
Genre | : Mathematics |
ISBN | : 052147910X |
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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clear and unified exposition of the main techniques and results in this area, including a substantial amount of new and unpublished material.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. |
Total Pages | : 216 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821889664 |
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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 | : |
Total Pages | : 154 |
Release | : 1988 |
Genre | : C*-algebras |
ISBN | : |
Download Hilbert C*-modules, KK-theory and C*-extensions Book in PDF, Epub and Kindle
Author | : Vladimir Markovich Manuĭlov |
Publisher | : |
Total Pages | : |
Release | : 2005 |
Genre | : C*-algebras |
ISBN | : 9781470446505 |
Download Hilbert C*-modules Book in PDF, Epub and Kindle
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 |
Total Pages | : 222 |
Release | : |
Genre | : |
ISBN | : 9819986680 |
Download Hilbert C*- Modules and Quantum Markov Semigroups Book in PDF, Epub and Kindle
Author | : Vladimir Markovich Manuĭlov |
Publisher | : American Mathematical Soc. |
Total Pages | : 202 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 9780821838105 |
Download Hilbert C*-modules Book in PDF, Epub and Kindle
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 |
Total Pages | : 661 |
Release | : 2021-05-05 |
Genre | : Mathematics |
ISBN | : 9813346469 |
Download Mathematical Analysis and Computing Book in PDF, Epub and Kindle
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 | : |
Total Pages | : 102 |
Release | : 2000 |
Genre | : C*-algebras |
ISBN | : |
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Author | : Ronald G. Douglas |
Publisher | : Longman |
Total Pages | : 150 |
Release | : 1989 |
Genre | : Function algebras |
ISBN | : |
Download Hilbert Modules Over Function Algebras Book in PDF, Epub and Kindle
Author | : Paul S. Muhly |
Publisher | : American Mathematical Soc. |
Total Pages | : 69 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 0821803468 |
Download Hilbert Modules over Operator Algebras Book in PDF, Epub and Kindle
Addresses the three-dimensional generalization of category, offering a full definition of tricategory; a proof of the coherence theorem for tricategories; and a modern source of material on Gray's tensor product of 2-categories. Of interest to research mathematicians; theoretical physicists, algebraic topologists; 3-D computer scientists; and theoretical computer scientists. Society members, $19.00. No index. Annotation copyright by Book News, Inc., Portland, OR