Modern Operator Theory And Applications

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Splitting Algorithms, Modern Operator Theory, and Applications

Author : Heinz H. Bauschke,Regina S. Burachik,D. Russell Luke
Publisher : Springer Nature
Page : 489 pages
File Size : 50,9 Mb
Release : 2019-11-06
Category : Mathematics
ISBN : 9783030259396

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Splitting Algorithms, Modern Operator Theory, and Applications by Heinz H. Bauschke,Regina S. Burachik,D. Russell Luke Pdf

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

Author : Yakob M. Erusalimskii,Israel Gohberg,Sergei M. Grudsky,Vladimir Rabinovich,Nikolai Vasilevski
Publisher : Springer Science & Business Media
Page : 260 pages
File Size : 51,9 Mb
Release : 2007-03-06
Category : Mathematics
ISBN : 9783764377373

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Modern Operator Theory and Applications by Yakob M. Erusalimskii,Israel Gohberg,Sergei M. Grudsky,Vladimir Rabinovich,Nikolai Vasilevski Pdf

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.

Recent Developments in Operator Theory and Its Applications

Author : I. Gohberg,P. Lancaster,P.N. Shivakumar
Publisher : Birkhäuser
Page : 448 pages
File Size : 41,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034890359

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Recent Developments in Operator Theory and Its Applications by I. Gohberg,P. Lancaster,P.N. Shivakumar Pdf

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.

Recent Advances in Operator Theory and Its Applications

Author : Marinus A. Kaashoek,Sebastiano Seatzu,Cornelis van der Mee
Publisher : Springer Science & Business Media
Page : 478 pages
File Size : 42,7 Mb
Release : 2006-01-17
Category : Mathematics
ISBN : 9783764373986

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Recent Advances in Operator Theory and Its Applications by Marinus A. Kaashoek,Sebastiano Seatzu,Cornelis van der Mee Pdf

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.

Modern Operator Theory and Applications

Author : Yakob M. Erusalimskii,Israel Gohberg,Sergei M. Grudsky,Vladimir Rabinovitch,Nikolai Vasilevski
Publisher : Birkhäuser
Page : 256 pages
File Size : 53,8 Mb
Release : 2009-09-03
Category : Mathematics
ISBN : 3764391472

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Modern Operator Theory and Applications by Yakob M. Erusalimskii,Israel Gohberg,Sergei M. Grudsky,Vladimir Rabinovitch,Nikolai Vasilevski Pdf

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

Author : Harry Dym,Marinus A. Kaashoek,Peter Lancaster,Heinz Langer,Leonid Lerer
Publisher : Springer Science & Business Media
Page : 635 pages
File Size : 51,9 Mb
Release : 2012-02-01
Category : Mathematics
ISBN : 9783034802215

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A Panorama of Modern Operator Theory and Related Topics by Harry Dym,Marinus A. Kaashoek,Peter Lancaster,Heinz Langer,Leonid Lerer Pdf

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.

Operator Theory, Operator Algebras, and Applications

Author : Deguang Han,Palle E. T. Jørgensen,David R. Larson
Publisher : American Mathematical Soc.
Page : 440 pages
File Size : 48,8 Mb
Release : 2006
Category : Mathematics
ISBN : 9780821839232

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Operator Theory, Operator Algebras, and Applications by Deguang Han,Palle E. T. Jørgensen,David R. Larson Pdf

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

Author : Vadim Adamyan,Yu.M. Berezansky,Israel Gohberg,Myroslav L. Gorbachuk,Valentyna Gorbachuk,Anatoly N. Kochubei,Heinz Langer,Gennadi Popov
Publisher : Springer Science & Business Media
Page : 490 pages
File Size : 45,7 Mb
Release : 2009-08-29
Category : Mathematics
ISBN : 9783764399191

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Modern Analysis and Applications by Vadim Adamyan,Yu.M. Berezansky,Israel Gohberg,Myroslav L. Gorbachuk,Valentyna Gorbachuk,Anatoly N. Kochubei,Heinz Langer,Gennadi Popov Pdf

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.

Noncommutative Function-Theoretic Operator Theory and Applications

Author : Joseph A. Ball,Vladimir Bolotnikov
Publisher : Cambridge University Press
Page : 439 pages
File Size : 40,5 Mb
Release : 2021-12-16
Category : Mathematics
ISBN : 9781316518991

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Noncommutative Function-Theoretic Operator Theory and Applications by Joseph A. Ball,Vladimir Bolotnikov Pdf

This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.

Modern Methods in Operator Theory and Harmonic Analysis

Author : Alexey Karapetyants,Vladislav Kravchenko,Elijah Liflyand
Publisher : Springer Nature
Page : 475 pages
File Size : 47,5 Mb
Release : 2019-08-28
Category : Mathematics
ISBN : 9783030267483

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Modern Methods in Operator Theory and Harmonic Analysis by Alexey Karapetyants,Vladislav Kravchenko,Elijah Liflyand Pdf

This proceedings volume gathers selected, peer-reviewed papers from the "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis VIII" (OTHA 2018) conference, which was held in Rostov-on-Don, Russia, in April 2018. The book covers a diverse range of topics in advanced mathematics, including harmonic analysis, functional analysis, operator theory, function theory, differential equations and fractional analysis – all fields that have been intensively developed in recent decades. Direct and inverse problems arising in mathematical physics are studied and new methods for solving them are presented. Complex multiparameter objects that require the involvement of operators with variable parameters and functional spaces, with fractional and even variable exponents, make these approaches all the more relevant. Given its scope, the book will especially benefit researchers with an interest in new trends in harmonic analysis and operator theory, though it will also appeal to graduate students seeking new and intriguing topics for further investigation.

Recent Advances in Operator Theory and Its Applications

Author : Marinus A. Kaashoek,Sebastiano Seatzu,Cornelis van der Mee
Publisher : Birkhäuser
Page : 478 pages
File Size : 40,7 Mb
Release : 2009-09-03
Category : Mathematics
ISBN : 3764390794

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Recent Advances in Operator Theory and Its Applications by Marinus A. Kaashoek,Sebastiano Seatzu,Cornelis van der Mee Pdf

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.

Operator Theory and Its Applications

Author : Alexander G. Ramm,P. N. Shivakumar,Abraham Vilgelmovich Strauss
Publisher : American Mathematical Soc.
Page : 600 pages
File Size : 42,8 Mb
Release : 2024-07-02
Category : Mathematics
ISBN : 0821871315

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Operator Theory and Its Applications by Alexander G. Ramm,P. N. Shivakumar,Abraham Vilgelmovich Strauss Pdf

This volume contains a selection of papers presented at an international conference on operator theory and its applications held in Winnipeg. The papers chosen for this volume are intended to illustrate that operator theory is the language of modern analysis and its applications. Together with the papers on the abstract operator theory are many papers on the theory of differential operators, boundary value problems, inverse scattering and other inverse problems, and on applications to biology, chemistry, wave propagation, and many other areas. The volume is dedicated to the late A. V. Strauss, whose principal areas of research were spectral theory of linear operators in Hilbert spaces, extension theory for symmetric linear operators, theory of the characteristic functions and functional models of linear operators, and boundary value problems with boundary conditions depending on spectral parameter. The bibliography of publications by A. V. Strauss combined with the papers from the conference provide both historical perspective and contemporary research on the field of operator theory and its applications.

Current Trends in Operator Theory and its Applications

Author : Joseph A. Ball,J. William Helton,Martin Klaus,Leiba Rodman
Publisher : Birkhäuser
Page : 598 pages
File Size : 46,5 Mb
Release : 2012-10-31
Category : Mathematics
ISBN : 3034896085

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Current Trends in Operator Theory and its Applications by Joseph A. Ball,J. William Helton,Martin Klaus,Leiba Rodman Pdf

Many developments on the cutting edge of research in operator theory and its applications are reflected in this collection of original and review articles. Particular emphasis lies on highlighting the interplay between operator theory and applications from other areas, such as multi-dimensional systems and function theory of several complex variables, distributed parameter systems and control theory, mathematical physics, wavelets, and numerical analysis.

Operator Theory, Operator Algebras and Applications

Author : M. Amélia Bastos,Amarino Lebre,Stefan Samko,Ilya M. Spitkovsky
Publisher : Springer
Page : 373 pages
File Size : 48,5 Mb
Release : 2014-05-23
Category : Mathematics
ISBN : 9783034808163

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Operator Theory, Operator Algebras and Applications by M. Amélia Bastos,Amarino Lebre,Stefan Samko,Ilya M. Spitkovsky Pdf

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).

Operator Theory and Interpolation

Author : Hari Bercovic,Ciprian I. Foias
Publisher : Birkhäuser
Page : 311 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884228

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Operator Theory and Interpolation by Hari Bercovic,Ciprian I. Foias Pdf

A collection of articles emphasizing modern interpolation theory, a topic which has seen much progress in recent years. These ideas and problems in operator theory, often arising from systems and control theories, bring the reader to the forefront of current research in this area.