Operator Theory on Noncommutative Domains
Author: Gelu Popescu
Publisher:
Published: 2010
Total Pages: 124
ISBN-13: 9781470405786
DOWNLOAD EBOOK →Lanterna Rally
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Operator Theory on Noncommutative Domains
Author: Gelu Popescu
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 137
ISBN-13: 0821847104
DOWNLOAD EBOOK →"Volume 205, number 964 (third of 5 numbers)."
Multivariable Operator Theory
Author: Ernst Albrecht
Publisher: Springer Nature
Published: 2024-01-22
Total Pages: 893
ISBN-13: 3031505352
DOWNLOAD EBOOK →Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
Noncommutative Analysis, Operator Theory and Applications
Author: Daniel Alpay
Publisher: Birkhäuser
Published: 2016-06-30
Total Pages: 283
ISBN-13: 3319291165
DOWNLOAD EBOOK →This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.
Noncommutative Function-Theoretic Operator Theory and Applications
Author: Joseph A. Ball
Publisher: Cambridge University Press
Published: 2021-12-16
Total Pages: 439
ISBN-13: 131651899X
DOWNLOAD EBOOK →This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology
Author: Raul E Curto
Publisher: Springer Nature
Published: 2020-12-12
Total Pages: 531
ISBN-13: 3030433803
DOWNLOAD EBOOK →This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current status of research in the relevant fields. The book is also a special volume dedicated to the memory of Ronald G. Douglas who passed away on February 27, 2018 at the age of 79. Many of the contributors are Douglas’ students and past collaborators. Their articles attest and commemorate his life-long contribution and influence to these fields.
Foundations of Free Noncommutative Function Theory
Author: Dmitry S. Kaliuzhnyi-Verbovetskyi
Publisher: American Mathematical Soc.
Published: 2014-11-19
Total Pages: 194
ISBN-13: 1470416972
DOWNLOAD EBOOK →In this book the authors develop a theory of free noncommutative functions, in both algebraic and analytic settings. Such functions are defined as mappings from square matrices of all sizes over a module (in particular, a vector space) to square matrices over another module, which respect the size, direct sums, and similarities of matrices. Examples include, but are not limited to, noncommutative polynomials, power series, and rational expressions. Motivation and inspiration for using the theory of free noncommutative functions often comes from free probability. An important application area is "dimensionless" matrix inequalities; these arise, e.g., in various optimization problems of system engineering. Among other related areas are those of polynomial identities in rings, formal languages and finite automata, quasideterminants, noncommutative symmetric functions, operator spaces and operator algebras, and quantum control.
Optimal Domain and Integral Extension of Operators
Author: S. Okada
Publisher: Springer Science & Business Media
Published: 2008-09-09
Total Pages: 406
ISBN-13: 3764386487
DOWNLOAD EBOOK →This book deals with the analysis of linear operators from a quasi-Banach function space into a Banach space. The central theme is to extend the operator to as large a (function) space as possible, its optimal domain, and to take advantage of this in analyzing the original operator. Most of the material appears in print for the first time. The book has an interdisciplinary character and is aimed at graduates, postgraduates, and researchers in modern operator theory.
Non-Associative and Non-Commutative Algebra and Operator Theory
Author: Cheikh Thiécoumbe Gueye
Publisher: Springer
Published: 2016-11-21
Total Pages: 254
ISBN-13: 3319329022
DOWNLOAD EBOOK →Presenting the collaborations of over thirty international experts in the latest developments in pure and applied mathematics, this volume serves as an anthology of research with a common basis in algebra, functional analysis and their applications. Special attention is devoted to non-commutative algebras, non-associative algebras, operator theory and ring and module theory. These themes are relevant in research and development in coding theory, cryptography and quantum mechanics. The topics in this volume were presented at the Workshop on Non-Associative & Non-Commutative Algebra and Operator Theory, held May 23—25, 2014 at Cheikh Anta Diop University in Dakar, Senegal in honor of Professor Amin Kaidi. The workshop was hosted by the university's Laboratory of Algebra, Cryptology, Algebraic Geometry and Applications, in cooperation with the University of Almería and the University of Málaga. Dr. Kaidi's work focuses on non-associative rings and algebras, operator theory and functional analysis, and he has served as a mentor to a generation of mathematicians in Senegal and around the world.
Small Modifications of Quadrature Domains
Author: Makoto Sakai
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 282
ISBN-13: 0821848100
DOWNLOAD EBOOK →For a given plane domain, the author adds a constant multiple of the Dirac measure at a point in the domain and makes a new domain called a quadrature domain. The quadrature domain is characterized as a domain such that the integral of a harmonic and integrable function over the domain equals the integral of the function over the given domain plus the integral of the function with respect to the added measure. The family of quadrature domains can be modeled as the Hele-Shaw flow with a free-boundary problem. The given domain is regarded as the initial domain and the support point of the Dirac measure as the injection point of the flow.
