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The Extended Field of Operator Theory

The Extended Field of Operator Theory
Author: Michael A. Dritschel
Publisher: Springer Science & Business Media
Total Pages: 405
Release: 2007-06-25
Genre: Mathematics
ISBN: 3764379804

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This volume contains contributions originating from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Newcastle upon Tyne in July 2004. The articles expertly cover a broad range of material at the cutting edge of functional analysis and its applications. The works are written by world authorities in their specialities.


Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology
Author: Raul E Curto
Publisher: Springer Nature
Total Pages: 531
Release: 2020-12-12
Genre: Mathematics
ISBN: 3030433803

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This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current status of research in the relevant fields. The book is also a special volume dedicated to the memory of Ronald G. Douglas who passed away on February 27, 2018 at the age of 79. Many of the contributors are Douglas’ students and past collaborators. Their articles attest and commemorate his life-long contribution and influence to these fields.


Operator Theory, Operator Algebras, and Matrix Theory

Operator Theory, Operator Algebras, and Matrix Theory
Author: Carlos André
Publisher: Birkhäuser
Total Pages: 372
Release: 2018-08-22
Genre: Mathematics
ISBN: 3319724495

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This book consists of invited survey articles and research papers in the scientific areas of the “International Workshop on Operator Algebras, Operator Theory and Applications,” which was held in Lisbon in July 2016. Reflecting recent developments in the field of algebras of operators, operator theory and matrix theory, it particularly focuses on groupoid algebras and Fredholm conditions, algebras of approximation sequences, C* algebras of convolution type operators, index theorems, spectrum and numerical range of operators, extreme supercharacters of infinite groups, quantum dynamics and operator algebras, and inverse eigenvalue problems. Establishing bridges between the three related areas of operator algebras, operator theory, and matrix theory, the book is aimed at researchers and graduate students who use results from these areas.


Operator Algebras, Operator Theory and Applications

Operator Algebras, Operator Theory and Applications
Author: Maria Amélia Bastos
Publisher: Springer Science & Business Media
Total Pages: 443
Release: 2008-05-27
Genre: Mathematics
ISBN: 3764386843

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This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.


Analysis of Operators on Function Spaces

Analysis of Operators on Function Spaces
Author: Alexandru Aleman
Publisher: Springer
Total Pages: 281
Release: 2019-05-30
Genre: Mathematics
ISBN: 3030146405

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This book contains both expository articles and original research in the areas of function theory and operator theory. The contributions include extended versions of some of the lectures by invited speakers at the conference in honor of the memory of Serguei Shimorin at the Mittag-Leffler Institute in the summer of 2018. The book is intended for all researchers in the fields of function theory, operator theory and complex analysis in one or several variables. The expository articles reflecting the current status of several well-established and very dynamical areas of research will be accessible and useful to advanced graduate students and young researchers in pure and applied mathematics, and also to engineers and physicists using complex analysis methods in their investigations.


Introduction to Operator Algebras

Introduction to Operator Algebras
Author: Bing-Ren Li
Publisher: World Scientific
Total Pages: 758
Release: 1992
Genre: Mathematics
ISBN: 9789810209414

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This book is an introductory text on one of the most important fields of Mathematics, the theory of operator algebras. It offers a readable exposition of the basic concepts, techniques, structures and important results of operator algebras. Written in a self-contained manner, with an emphasis on understanding, it serves as an ideal text for graduate students.


Lectures on Operator Theory

Lectures on Operator Theory
Author: B. V. Rajarama Bhat
Publisher: American Mathematical Soc.
Total Pages: 337
Release: 1999
Genre: Mathematics
ISBN: 0821808214

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This book resulted from the lectures held at The Fields Institute (Waterloo, ON, Canada). Leading international experts presented current results on the theory of C*-algebras and von Neumann algebras, together with recent work on the classification of C*-algebras. Much of the material in the book is appearing here for the first time and is not available elsewhere in the literature.


Operator Theory

Operator Theory
Author: Daniel Alpay
Publisher: Springer
Total Pages: 0
Release: 2015-07-21
Genre: Mathematics
ISBN: 9783034806664

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A one-sentence definition of operator theory could be: The study of (linear) continuous operations between topological vector spaces, these being in general (but not exclusively) Fréchet, Banach, or Hilbert spaces (or their duals). Operator theory is thus a very wide field, with numerous facets, both applied and theoretical. There are deep connections with complex analysis, functional analysis, mathematical physics, and electrical engineering, to name a few. Fascinating new applications and directions regularly appear, such as operator spaces, free probability, and applications to Clifford analysis. In our choice of the sections, we tried to reflect this diversity. This is a dynamic ongoing project, and more sections are planned, to complete the picture. We hope you enjoy the reading, and profit from this endeavor.


Operator Theory, Operator Algebras, and Applications

Operator Theory, Operator Algebras, and Applications
Author: Deguang Han
Publisher: American Mathematical Soc.
Total Pages: 440
Release: 2006
Genre: Mathematics
ISBN: 0821839233

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This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications. While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, $C*$-algebras, and von Neumann algebras. Some longer papers present recent advances on particular, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.


Operator Theory and Complex Analysis

Operator Theory and Complex Analysis
Author: J. K. Aggarwal
Publisher: Springer Science & Business Media
Total Pages: 420
Release: 1993-01-22
Genre: Computers
ISBN: 9783764328245

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This volume presents a set of papers based on the proceedings of the NATO Advanced Research Workshop on Multisensor Fusion for Computer Vision, held in Grenoble, France, in June 1989. The workshop focused on the fusion or integration of sensor information to achieve the optimum interpretation of a scene. The papers cover a broad range of topics, including principles and issues in multisensor fusion, information fusion for navigation, multisensor fusion for object recognition, network approaches to multisensor fusion, computer architectures for multisensor fusion, and applications of multisensor fusion. The authors have documented their own research and, in so doing,have presented the state of the art in the field. Each author is a recognized leader in his or her area in the academic, governmental, or industrial research community. Several contributors present novel points of view on the integration of information. The book gives a representative picture of current progress in multisensor fusion for computer vision among the leading research groups in Europe and North America.