Topics in Modern Operator Theory
Author: C. Apostol
Publisher: Birkhauser
Published: 1981-03
Total Pages: 335
ISBN-13: 9780817612443
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Splitting Algorithms, Modern Operator Theory, and Applications
Author: Heinz H. Bauschke
Publisher: Springer Nature
Published: 2019-11-06
Total Pages: 489
ISBN-13: 3030259390
DOWNLOAD EBOOK →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.
A Course in Operator Theory
Author: John B. Conway
Publisher: American Mathematical Soc.
Published: 2000
Total Pages: 390
ISBN-13: 0821820656
DOWNLOAD EBOOK →Operator theory is a significant part of many important areas of modern mathematics: functional analysis, differential equations, index theory, representation theory, mathematical physics, and more. This text covers the central themes of operator theory, presented with the excellent clarity and style that readers have come to associate with Conway's writing. Early chapters introduce and review material on $C^*$-algebras, normal operators, compact operators, and non-normal operators. Some of the major topics covered are the spectral theorem, the functional calculus, and the Fredholm index. In addition, some deep connections between operator theory and analytic functions are presented. Later chapters cover more advanced topics, such as representations of $C^*$-algebras, compact perturbations, and von Neumann algebras. Major results, such as the Sz.-Nagy Dilation Theorem, the Weyl-von Neumann-Berg Theorem, and the classification of von Neumann algebras, are covered, as is a treatment of Fredholm theory. The last chapter gives an introduction to reflexive subspaces, which along with hyperreflexive spaces, are one of the more successful episodes in the modern study of asymmetric algebras. Professor Conway's authoritative treatment makes this a compelling and rigorous course text, suitable for graduate students who have had a standard course in functional analysis.
A Panorama of Modern Operator Theory and Related Topics
Author: Harry Dym
Publisher: Springer Science & Business Media
Published: 2012-02-01
Total Pages: 635
ISBN-13: 3034802218
DOWNLOAD EBOOK →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
Author: Constantin
Publisher: Birkhäuser
Published: 2013-11-21
Total Pages: 327
ISBN-13: 3034854560
DOWNLOAD EBOOK →The first of the annual Operator Theory conferences in Ti mi~oara held four years ago was a meeting of operator theory spe cialists from the National Institute for Scientific and Techni cal Creation in Bucharest and from the University of Timi~oara. Since then, the participation to these conferences has greatly increased, by being attended first by operator theorists from allover the country and (since 1978) by an increasing number of foreign mathematicians. Thus the 1980 Conference can be regarded as a truly international Operator Theory meeting, fifteen coun tries being represented at it. These conferences are conceived as a means to promote the cooperation between specialists in all areas of Operator Theory. Among the main topics in 1980 were: dilation theory, invariant subspaces, connections with the theory of cX-algebras, subnormal operators, multidimensional functional calculus etc. Though not included in this volume, we would like to mention that in 1980 some special sessions concerning other fields of Functional Ana lysis were organized at the Operator Theory conference. The research contracts of the Department of Mathematics of INCREST with the National Council for Sciences and Technoloa,y of Romania provided the means for developping the research activi ty in Functional Analysis; these contracts constitute the gene rous framework for these meetings.
Topics in Modern Operator Theory
Modern Methods in Operator Theory and Harmonic Analysis
Author: Alexey Karapetyants
Publisher: Springer Nature
Published: 2019-08-28
Total Pages: 475
ISBN-13: 3030267482
DOWNLOAD EBOOK →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.
Modern Analysis and Applications
Author: Vadim Adamyan
Publisher: Springer Science & Business Media
Published: 2009-08-29
Total Pages: 490
ISBN-13: 3764399198
DOWNLOAD EBOOK →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.
Modern Operator Theory and Applications
Author: Yakob M. Erusalimskii
Publisher: Springer Science & Business Media
Published: 2007-03-06
Total Pages: 260
ISBN-13: 3764377372
DOWNLOAD EBOOK →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.
Topics in Modern Operator Theory
Author: Constantin Apostol
Publisher: Operator Theory: Advances and Applications
Published: 1981
Total Pages: 344
ISBN-13:
DOWNLOAD EBOOK →The first of the annual Operator Theory conferences in Ti mi~oara held four years ago was a meeting of operator theory spe cialists from the National Institute for Scientific and Techni cal Creation in Bucharest and from the University of Timi~oara. Since then, the participation to these conferences has greatly increased, by being attended first by operator theorists from allover the country and (since 1978) by an increasing number of foreign mathematicians. Thus the 1980 Conference can be regarded as a truly international Operator Theory meeting, fifteen coun tries being represented at it. These conferences are conceived as a means to promote the cooperation between specialists in all areas of Operator Theory. Among the main topics in 1980 were: dilation theory, invariant subspaces, connections with the theory of cX-algebras, subnormal operators, multidimensional functional calculus etc. Though not included in this volume, we would like to mention that in 1980 some special sessions concerning other fields of Functional Ana lysis were organized at the Operator Theory conference. The research contracts of the Department of Mathematics of INCREST with the National Council for Sciences and Technoloa,y of Romania provided the means for developping the research activi ty in Functional Analysis; these contracts constitute the gene rous framework for these meetings.
