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Modern Operator Theory and Applications

Modern Operator Theory and Applications
Author: Yakob M. Erusalimskii
Publisher: Springer Science & Business Media
Total Pages: 260
Release: 2007-03-06
Genre: Mathematics
ISBN: 3764377372

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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
Author: Heinz H. Bauschke
Publisher: Springer Nature
Total Pages: 489
Release: 2019-11-06
Genre: Mathematics
ISBN: 3030259390

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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.


Recent Developments in Operator Theory and Its Applications

Recent Developments in Operator Theory and Its Applications
Author: I. Gohberg
Publisher: Birkhäuser
Total Pages: 448
Release: 2012-12-06
Genre: Mathematics
ISBN: 3034890354

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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

Recent Advances in Operator Theory and Its Applications
Author: Marinus A. Kaashoek
Publisher: Springer Science & Business Media
Total Pages: 480
Release: 2006-01-17
Genre: Mathematics
ISBN: 3764373989

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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

Modern Operator Theory and Applications
Author: Yakob M. Erusalimskii
Publisher: Birkhäuser
Total Pages: 256
Release: 2009-09-03
Genre: Mathematics
ISBN: 9783764391478

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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
Author: Harry Dym
Publisher: Springer Science & Business Media
Total Pages: 635
Release: 2012-02-01
Genre: Mathematics
ISBN: 3034802218

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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.


Topics in Modern Operator Theory

Topics in Modern Operator Theory
Author: C. Apostol
Publisher: Birkhauser
Total Pages: 335
Release: 1981-03
Genre: Mathematics
ISBN: 9780817612443

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Modern Analysis and Applications

Modern Analysis and Applications
Author: Vadim Adamyan
Publisher: Springer Science & Business Media
Total Pages: 497
Release: 2009-08-29
Genre: Mathematics
ISBN: 3764399198

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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.


Operator Theory and Its Applications

Operator Theory and Its Applications
Author: Alexander G. Ramm
Publisher: American Mathematical Soc.
Total Pages: 600
Release:
Genre: Mathematics
ISBN: 9780821871317

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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.


Operator Theory, Operator Algebras and Applications

Operator Theory, Operator Algebras and Applications
Author: M. Amélia Bastos
Publisher: Springer
Total Pages: 379
Release: 2014-05-23
Genre: Mathematics
ISBN: 303480816X

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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).