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Operator Algebras, Toeplitz Operators and Related Topics

Operator Algebras, Toeplitz Operators and Related Topics PDF Author: Wolfram Bauer
Publisher: Springer Nature
ISBN: 3030446514
Category : Mathematics
Languages : en
Pages : 459

Book Description
This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Operator Algebras, Toeplitz Operators and Related Topics

Operator Algebras, Toeplitz Operators and Related Topics PDF Author: Wolfram Bauer
Publisher: Springer Nature
ISBN: 3030446514
Category : Mathematics
Languages : en
Pages : 459

Book Description
This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.

Toeplitz Operators and Related Topics

Toeplitz Operators and Related Topics PDF Author: Estelle L. Basor
Publisher: Birkhäuser
ISBN: 3034885431
Category : Mathematics
Languages : en
Pages : 208

Book Description
This volume is dedicated to Harold Widom, a distinguished mathematician and renowned expert in the area of Toeplitz, Wiener-Hopf and pseudodifferential operators, on the occasion of his sixtieth birthday. The book opens with biographical material and a list of the mathematician's publications, this being followed by two papers based on Toeplitz lectures which he delivered at Tel Aviv University in March, 1993. The rest of the book consists of a selection of papers containing some recent achievements in the following areas: Szegö-Widom asymptotic formulas for determinants of finite sections of Toeplitz matrices and their generalizations, the Fisher-Hartwig conjecture, random matrices, analysis of kernels of Toeplitz matrices, projectional methods and eigenvalue distribution for Toeplitz matrices, the Fredholm theory for convolution type operators, the Nehari interpolation problem with generalizations and applications, and Toeplitz-Hausdorff type theorems. The book will appeal to a wide audience of pure and applied mathematicians.

Operator Theory, Operator Algebras, and Matrix Theory

Operator Theory, Operator Algebras, and Matrix Theory PDF Author: Carlos André
Publisher: Birkhäuser
ISBN: 3319724495
Category : Mathematics
Languages : en
Pages : 381

Book Description
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 Algebras, Operator Theory and Applications

Operator Algebras, Operator Theory and Applications PDF Author: Maria Amélia Bastos
Publisher: Springer Science & Business Media
ISBN: 3764386843
Category : Mathematics
Languages : en
Pages : 443

Book Description
This book is composed of three survey lecture courses and some twenty invited research papers presented to WOAT 2006 - the International Summer School and Workshop on Operator Algebras, Operator Theory and Applications, held at Lisbon in September 2006. The volume reflects recent developments in the area of operator algebras and their interaction with research fields in complex analysis and operator theory. The book is aimed at postgraduates and researchers in these fields.

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics

Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics PDF Author: Dario A. Bini
Publisher: Birkhäuser
ISBN: 3319491822
Category : Mathematics
Languages : en
Pages : 757

Book Description
This book presents a collection of expository and research papers on various topics in matrix and operator theory, contributed by several experts on the occasion of Albrecht Böttcher’s 60th birthday. Albrecht Böttcher himself has made substantial contributions to the subject in the past. The book also includes a biographical essay, a complete bibliography of Albrecht Böttcher’s work and brief informal notes on personal encounters with him. The book is of interest to graduate and advanced undergraduate students majoring in mathematics, researchers in matrix and operator theory as well as engineers and applied mathematicians.

Operator and Norm Inequalities and Related Topics

Operator and Norm Inequalities and Related Topics PDF Author: Richard M. Aron
Publisher: Springer Nature
ISBN: 3031021045
Category : Mathematics
Languages : en
Pages : 822

Book Description
Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades. Some chapters are devoted to giving a series of new characterizations of operator monotone functions and some others explore inequalities connected to log-majorization, relative operator entropy, and the Ando-Hiai inequality. Several chapters are focused on Birkhoff–James orthogonality and approximate orthogonality in Banach spaces and operator algebras such as C*-algebras from historical perspectives to current development. A comprehensive account of the boundedness, compactness, and restrictions of Toeplitz operators can be found in the book. Furthermore, an overview of the Bishop-Phelps-Bollobás theorem is provided. The state-of-the-art of Hardy-Littlewood inequalities in sequence spaces is given. The chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.

C*-Algebras and Operator Theory

C*-Algebras and Operator Theory PDF Author: Gerald J. Murphy
Publisher: Academic Press
ISBN: 0080924964
Category : Mathematics
Languages : en
Pages : 297

Book Description
This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.

Operator and Matrix Theory, Function Spaces, and Applications

Operator and Matrix Theory, Function Spaces, and Applications PDF Author: Marek Ptak
Publisher: Springer Nature
ISBN: 3031506138
Category :
Languages : en
Pages : 423

Book Description


Toeplitz Matrices and Operators

Toeplitz Matrices and Operators PDF Author: Nikolaï Nikolski
Publisher: Cambridge University Press
ISBN: 110719850X
Category : Mathematics
Languages : en
Pages : 453

Book Description
A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.

Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators

Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators PDF Author: Albrecht Böttcher
Publisher: Birkhäuser
ISBN: 3034889224
Category : Mathematics
Languages : en
Pages : 408

Book Description
Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997. This book is a self-contained exposition of the spectral theory of Toeplitz operators with piecewise continuous symbols and singular integral operators with piecewise continuous coefficients. It includes an introduction to Carleson curves, Muckenhoupt weights, weighted norm inequalities, local principles, Wiener-Hopf factorization, and Banach algebras generated by idempotents. Some basic phenomena in the field and the techniques for treating them came to be understood only in recent years and are comprehensively presented here for the first time. The material has been polished in an effort to make advanced topics accessible to a broad readership. The book is addressed to a wide audience of students and mathematicians interested in real and complex analysis, functional analysis and operator theory.