Operator Theory, Operator Algebras, and Matrix Theory

Operator Theory, Operator Algebras, and Matrix Theory
Title Operator Theory, Operator Algebras, and Matrix Theory PDF eBook
Author Carlos André
Publisher Birkhäuser
Pages 381
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.

Recent Advances in Operator Theory and Operator Algebras

Recent Advances in Operator Theory and Operator Algebras
Title Recent Advances in Operator Theory and Operator Algebras PDF eBook
Author Hari Bercovici
Publisher CRC Press
Pages 167
Release 2017-08-07
Genre Mathematics
ISBN 1317974611

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This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.

Unbounded Operator Algebras and Representation Theory

Unbounded Operator Algebras and Representation Theory
Title Unbounded Operator Algebras and Representation Theory PDF eBook
Author K. Schmüdgen
Publisher Birkhäuser
Pages 381
Release 2013-11-11
Genre Mathematics
ISBN 3034874693

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*-algebras of unbounded operators in Hilbert space, or more generally algebraic systems of unbounded operators, occur in a natural way in unitary representation theory of Lie groups and in the Wightman formulation of quantum field theory. In representation theory they appear as the images of the associated representations of the Lie algebras or of the enveloping algebras on the Garding domain and in quantum field theory they occur as the vector space of field operators or the *-algebra generated by them. Some of the basic tools for the general theory were first introduced and used in these fields. For instance, the notion of the weak (bounded) commutant which plays a fundamental role in thegeneraltheory had already appeared in quantum field theory early in the six ties. Nevertheless, a systematic study of unbounded operator algebras began only at the beginning of the seventies. It was initiated by (in alphabetic order) BORCHERS, LASSNER, POWERS, UHLMANN and VASILIEV. J1'rom the very beginning, and still today, represen tation theory of Lie groups and Lie algebras and quantum field theory have been primary sources of motivation and also of examples. However, the general theory of unbounded operator algebras has also had points of contact with several other disciplines. In particu lar, the theory of locally convex spaces, the theory of von Neumann algebras, distri bution theory, single operator theory, the momcnt problem and its non-commutative generalizations and noncommutative probability theory, all have interacted with our subject.

Recent Advances in Operator Theory, Operator Algebras, and their Applications

Recent Advances in Operator Theory, Operator Algebras, and their Applications
Title Recent Advances in Operator Theory, Operator Algebras, and their Applications PDF eBook
Author Dumitru Gaspar
Publisher Springer Science & Business Media
Pages 351
Release 2006-03-30
Genre Mathematics
ISBN 3764373148

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This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.

Operator Algebras and Mathematical Physics

Operator Algebras and Mathematical Physics
Title Operator Algebras and Mathematical Physics PDF eBook
Author Tirthankar Bhattacharyya
Publisher Birkhäuser
Pages 207
Release 2015-09-29
Genre Mathematics
ISBN 3319181823

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This volume gathers contributions from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Bangalore, India, in December 2013. All articles were written by experts and cover a broad range of original material at the cutting edge of operator theory and its applications. Topics include multivariable operator theory, operator theory on indefinite metric spaces (Krein and Pontryagin spaces) and its applications, spectral theory with applications to differential operators, the geometry of Banach spaces, scattering and time varying linear systems, and wavelets and coherent states.

C*-Algebras and Operator Theory

C*-Algebras and Operator Theory
Title C*-Algebras and Operator Theory PDF eBook
Author Gerald J. Murphy
Publisher Academic Press
Pages 297
Release 2014-06-28
Genre Mathematics
ISBN 0080924964

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This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.

Operator Theory, Functional Analysis and Applications

Operator Theory, Functional Analysis and Applications
Title Operator Theory, Functional Analysis and Applications PDF eBook
Author M. Amélia Bastos
Publisher Birkhäuser
Pages 657
Release 2021-04-01
Genre Mathematics
ISBN 9783030519445

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This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.