Some Recent Developments in Operator Theory

Some Recent Developments in Operator Theory
Author: Carl M. Pearcy
Publisher: American Mathematical Soc.
Total Pages: 86
Release: 1978
Genre: Mathematics
ISBN: 9780821888810

Surveys some of the remarkable developments that have taken place in operator theory over the years. This monograph is largely expository and should be accessible to those who have had a course in functional analysis and operator theory.

Operator Theory and Harmonic Analysis

Operator Theory and Harmonic Analysis
Author: Alexey N. Karapetyants
Publisher: Springer Nature
Total Pages: 585
Release: 2021-09-27
Genre: Mathematics
ISBN: 3030774937

This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the first in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University in Rostov-on-Don, Russia. This volume is focused on general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topic is related to the study of complex multiparameter objects required when considering operators and objects with variable parameters.

Recent Trends in Operator Theory and Applications

Recent Trends in Operator Theory and Applications
Author: Fernanda Botelho
Publisher:
Total Pages: 194
Release: 2019
Genre: Electronic books
ISBN: 9781470455248

This volume contains the proceedings of the workshop on Recent Trends in Operator Theory and Applications (RTOTA 2018), held from May 3-5, 2018, at the University of Memphis, Memphis, Tennessee. The articles introduce topics from operator theory to graduate students and early career researchers. Each such article provides insightful references, selection of results with articulation to modern research and recent advances in the area. Topics addressed in this volume include: generalized numerical ranges and their application to study perturbation of operators, and connections to quantum error c.

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

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 Developments in Operator Theory, Mathematical Physics and Complex Analysis

Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis
Author: Daniel Alpay
Publisher: Springer Nature
Total Pages: 424
Release: 2023-04-11
Genre: Mathematics
ISBN: 3031214609

This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.

Operator Theory, Operator Algebras, and Matrix Theory

Operator Theory, Operator Algebras, and Matrix Theory
Author: Carlos André
Publisher: Birkhäuser
Total Pages: 381
Release: 2018-08-22
Genre: Mathematics
ISBN: 3319724495

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.

Operator Theory, Functional Analysis and Applications

Operator Theory, Functional Analysis and Applications
Author: M. Amélia Bastos
Publisher: Birkhäuser
Total Pages: 657
Release: 2021-04-01
Genre: Mathematics
ISBN: 9783030519445

This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.

Recent Developments in Nonlocal Theory

Recent Developments in Nonlocal Theory
Author: Giampiero Palatucci
Publisher: De Gruyter Open
Total Pages: 450
Release: 2018-03-30
Genre: Mathematics
ISBN: 9783110571554

This edited volume aims at giving an overview of recent advances in the theory and applications of Partial Differential Equations and energy functionals related to the fractional Laplacian operator as well as to more general integro-differential operators with singular kernel of fractional differentiability. After being investigated firstly in Potential Theory and Harmonic Analysis, fractional operators defined via singular integral are nowadays riveting great attention in different research fields related to Partial Differential Equations with nonlocal terms, since they naturally arise in many different contexts, as for instance, dislocations in crystals, nonlocal minimal surfaces, the obstacle problem, the fractional Yamabe problem, and many others. Much progress has been made during the last years, and this edited volume presents a valuable update to a wide community interested in these topics. List of contributors Claudia Bucur, Zhen-Qing Chen, Francesca Da Lio, Donatella Danielli, Serena Dipierro, Rupert L. Frank, Maria del Mar Gonzalez, Moritz Kassmann, Tuomo Kuusi, Giuseppe Mingione, Giovanni Molica Bisci, Stefania Patrizi, Xavier Ros-Oton, Sandro Salsa, Yannick Sire, Enrico Valdinoci, Xicheng Zhang.

The Functional Calculus for Sectorial Operators

The Functional Calculus for Sectorial Operators
Author: Markus Haase
Publisher: Springer Science & Business Media
Total Pages: 399
Release: 2006-08-18
Genre: Mathematics
ISBN: 3764376988

This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculus for unbounded sectorial operators. The account is generic so that it can be used to construct and interrelate holomorphic functional calculi for other types of unbounded operators. Particularly, an elegant unified approach to holomorphic semigroups is obtained. The last chapter describes applications to PDE, evolution equations and approximation theory as well as the connection with harmonic analysis.