Modern Operator Theory and Applications

Modern Operator Theory and Applications PDF Author: Yakob M. Erusalimskii
Publisher: Springer Science & Business Media
ISBN: 3764377372
Category : Mathematics
Languages : en
Pages : 260

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Book Description
This volume is dedicated to the eminent Russian mathematician I.B. Simonenko on the occasion of his 70th birthday. It presents recent results in Fredholm theory for singular integral and convolution operators, estimates for singular integral operators on Carleson curves acting in Lp spaces with variable exponents, the finite sections method for band-dominated and Toeplitz operators, Szegö type theorems, the averaging method for nonlinear equations, among others.

Modern Operator Theory and Applications

Modern Operator Theory and Applications PDF Author: Yakob M. Erusalimskii
Publisher: Springer Science & Business Media
ISBN: 3764377372
Category : Mathematics
Languages : en
Pages : 260

Get Book Here

Book Description
This volume is dedicated to the eminent Russian mathematician I.B. Simonenko on the occasion of his 70th birthday. It presents recent results in Fredholm theory for singular integral and convolution operators, estimates for singular integral operators on Carleson curves acting in Lp spaces with variable exponents, the finite sections method for band-dominated and Toeplitz operators, Szegö type theorems, the averaging method for nonlinear equations, among others.

Splitting Algorithms, Modern Operator Theory, and Applications

Splitting Algorithms, Modern Operator Theory, and Applications PDF Author: Heinz H. Bauschke
Publisher: Springer Nature
ISBN: 3030259390
Category : Mathematics
Languages : en
Pages : 489

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Book Description
This book brings together research articles and state-of-the-art surveys in broad areas of optimization and numerical analysis with particular emphasis on algorithms. The discussion also focuses on advances in monotone operator theory and other topics from variational analysis and nonsmooth optimization, especially as they pertain to algorithms and concrete, implementable methods. The theory of monotone operators is a central framework for understanding and analyzing splitting algorithms. Topics discussed in the volume were presented at the interdisciplinary workshop titled Splitting Algorithms, Modern Operator Theory, and Applications held in Oaxaca, Mexico in September, 2017. Dedicated to Jonathan M. Borwein, one of the most versatile mathematicians in contemporary history, this compilation brings theory together with applications in novel and insightful ways.

Modern Operator Theory and Applications

Modern Operator Theory and Applications PDF Author: Yakob M. Erusalimskii
Publisher: Birkhäuser
ISBN: 9783764391478
Category : Mathematics
Languages : en
Pages : 256

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Book Description
This volume is dedicated to the eminent Russian mathematician I.B. Simonenko on the occasion of his 70th birthday. It presents recent results in Fredholm theory for singular integral and convolution operators, estimates for singular integral operators on Carleson curves acting in Lp spaces with variable exponents, the finite sections method for band-dominated and Toeplitz operators, Szegö type theorems, the averaging method for nonlinear equations, among others.

A Panorama of Modern Operator Theory and Related Topics

A Panorama of Modern Operator Theory and Related Topics PDF Author: Harry Dym
Publisher: Springer Science & Business Media
ISBN: 3034802218
Category : Mathematics
Languages : en
Pages : 635

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Book Description
This book is dedicated to the memory of Israel Gohberg (1928–2009) – one of the great mathematicians of our time – who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg’s mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.

Recent Advances in Operator Theory and Its Applications

Recent Advances in Operator Theory and Its Applications PDF Author: Marinus A. Kaashoek
Publisher: Springer Science & Business Media
ISBN: 3764373989
Category : Mathematics
Languages : en
Pages : 480

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Book Description
This book contains a selection of carefully refereed research papers, most of which were presented at the fourteenth International Workshop on Operator Theory and its Applications (IWOTA), held at Cagliari, Italy, from June 24-27, 2003. The papers, many of which have been written by leading experts in the field, concern a wide variety of topics in modern operator theory and applications, with emphasis on differential operators and numerical methods. The book will be of interest to a wide audience of pure and applied mathematicians and engineers.

Recent Developments in Operator Theory and Its Applications

Recent Developments in Operator Theory and Its Applications PDF Author: I. Gohberg
Publisher: Birkhäuser
ISBN: 3034890354
Category : Mathematics
Languages : en
Pages : 448

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Book Description
The papers selected for publication here, many of them written by leaders in the field, bring readers up to date on recent achievements in modern operator theory and applications. The book’s subject matter is of practical use to a wide audience in mathematical and engineering sciences.

Topics in Modern Operator Theory

Topics in Modern Operator Theory PDF Author: C. Apostol
Publisher: Birkhauser
ISBN: 9780817612443
Category : Mathematics
Languages : en
Pages : 335

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Book Description


Operator Theory, Operator Algebras, and Applications

Operator Theory, Operator Algebras, and Applications PDF Author: Deguang Han
Publisher: American Mathematical Soc.
ISBN: 0821839233
Category : Mathematics
Languages : en
Pages : 440

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Book Description
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.

Modern Analysis and Applications

Modern Analysis and Applications PDF Author: Vadim Adamyan
Publisher: Springer Science & Business Media
ISBN: 3764399198
Category : Mathematics
Languages : en
Pages : 497

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Book Description
This is the first of two volumes containing peer-reviewed research and survey papers based on talks at the International Conference on Modern Analysis and Applications. The papers describe the contemporary development of subjects influenced by Mark Krein.

Spectral Theory of Linear Operators

Spectral Theory of Linear Operators PDF Author: Vladimir Müller
Publisher: Springer Science & Business Media
ISBN: 3764382651
Category : Mathematics
Languages : en
Pages : 444

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Book Description
This book is dedicated to the spectral theory of linear operators on Banach spaces and of elements in Banach algebras. It presents a survey of results concerning various types of spectra, both of single and n-tuples of elements. Typical examples are the one-sided spectra, the approximate point, essential, local and Taylor spectrum, and their variants. Many results appear here for the first time in a monograph.