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Author | : Hari Bercovici |
Publisher | : CRC Press |
Total Pages | : 167 |
Release | : 2017-08-07 |
Genre | : Mathematics |
ISBN | : 1317974611 |
Download Recent Advances in Operator Theory and Operator Algebras Book in PDF, ePub and Kindle
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.
Author | : Dumitru Gaspar |
Publisher | : Springer Science & Business Media |
Total Pages | : 351 |
Release | : 2006-03-30 |
Genre | : Mathematics |
ISBN | : 3764373148 |
Download Recent Advances in Operator Theory, Operator Algebras, and their Applications Book in PDF, ePub and Kindle
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.
Author | : Carlos André |
Publisher | : Birkhäuser |
Total Pages | : 372 |
Release | : 2018-08-22 |
Genre | : Mathematics |
ISBN | : 3319724495 |
Download Operator Theory, Operator Algebras, and Matrix Theory Book in PDF, ePub and Kindle
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.
Author | : Deguang Han |
Publisher | : American Mathematical Soc. |
Total Pages | : 440 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 0821839233 |
Download Operator Theory, Operator Algebras, and Applications Book in PDF, ePub and Kindle
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.
Author | : Masamichi Takesaki |
Publisher | : Springer Science & Business Media |
Total Pages | : 424 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461261880 |
Download Theory of Operator Algebras I Book in PDF, ePub and Kindle
Mathematics for infinite dimensional objects is becoming more and more important today both in theory and application. Rings of operators, renamed von Neumann algebras by J. Dixmier, were first introduced by J. von Neumann fifty years ago, 1929, in [254] with his grand aim of giving a sound founda tion to mathematical sciences of infinite nature. J. von Neumann and his collaborator F. J. Murray laid down the foundation for this new field of mathematics, operator algebras, in a series of papers, [240], [241], [242], [257] and [259], during the period of the 1930s and early in the 1940s. In the introduction to this series of investigations, they stated Their solution 1 {to the problems of understanding rings of operators) seems to be essential for the further advance of abstract operator theory in Hilbert space under several aspects. First, the formal calculus with operator-rings leads to them. Second, our attempts to generalize the theory of unitary group-representations essentially beyond their classical frame have always been blocked by the unsolved questions connected with these problems. Third, various aspects of the quantum mechanical formalism suggest strongly the elucidation of this subject. Fourth, the knowledge obtained in these investigations gives an approach to a class of abstract algebras without a finite basis, which seems to differ essentially from all types hitherto investigated. Since then there has appeared a large volume of literature, and a great deal of progress has been achieved by many mathematicians.
Author | : Maria Amélia Bastos |
Publisher | : Springer Science & Business Media |
Total Pages | : 437 |
Release | : 2008-05-27 |
Genre | : Mathematics |
ISBN | : 3764386843 |
Download Operator Algebras, Operator Theory and Applications Book in PDF, ePub and Kindle
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.
Author | : M. Amélia Bastos |
Publisher | : Springer |
Total Pages | : 373 |
Release | : 2014-05-23 |
Genre | : Mathematics |
ISBN | : 303480816X |
Download Operator Theory, Operator Algebras and Applications Book in PDF, ePub and Kindle
This book consists of research papers that cover the scientific areas of the International Workshop on Operator Theory, Operator Algebras and Applications, held in Lisbon in September 2012. The volume particularly focuses on (i) operator theory and harmonic analysis (singular integral operators with shifts; pseudodifferential operators, factorization of almost periodic matrix functions; inequalities; Cauchy type integrals; maximal and singular operators on generalized Orlicz-Morrey spaces; the Riesz potential operator; modification of Hadamard fractional integro-differentiation), (ii) operator algebras (invertibility in groupoid C*-algebras; inner endomorphisms of some semi group, crossed products; C*-algebras generated by mappings which have finite orbits; Folner sequences in operator algebras; arithmetic aspect of C*_r SL(2); C*-algebras of singular integral operators; algebras of operator sequences) and (iii) mathematical physics (operator approach to diffraction from polygonal-conical screens; Poisson geometry of difference Lax operators).
Author | : Richard V. Kadison |
Publisher | : American Mathematical Soc. |
Total Pages | : 290 |
Release | : 1998-01-13 |
Genre | : Mathematics |
ISBN | : 0821894692 |
Download Fundamentals of the Theory of Operator Algebras. Volume III Book in PDF, ePub and Kindle
This volume is the companion volume to Fundamentals of the Theory of Operator Algebras. Volume I--Elementary Theory (Graduate Studies in Mathematics series, Volume 15). The goal of the text proper is to teach the subject and lead readers to where the vast literature--in the subject specifically and in its many applications--becomes accessible. The choice of material was made from among the fundamentals of what may be called the "classical" theory of operator algebras. This volume contains the written solutions to the exercises in the Fundamentals of the Theory of Operator Algebras. Volume I--Elementary Theory.
Author | : Gerald J. Murphy |
Publisher | : Academic Press |
Total Pages | : 297 |
Release | : 2014-06-28 |
Genre | : Mathematics |
ISBN | : 0080924964 |
Download C*-Algebras and Operator Theory Book in PDF, ePub and Kindle
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.
Author | : Laszlo Kerchy |
Publisher | : Birkhäuser |
Total Pages | : 719 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034883749 |
Download Recent Advances in Operator Theory and Related Topics Book in PDF, ePub and Kindle
These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.-Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos.