Operator Theory on Noncommutative Domains

Operator Theory on Noncommutative Domains PDF Author: Gelu Popescu
Publisher:
ISBN: 9781470405786
Category : MATHEMATICS
Languages : en
Pages : 124

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Book Description

Operator Theory on Noncommutative Domains

Operator Theory on Noncommutative Domains PDF Author: Gelu Popescu
Publisher:
ISBN: 9781470405786
Category : MATHEMATICS
Languages : en
Pages : 124

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Book Description


Operator Theory on Noncommutative Domains

Operator Theory on Noncommutative Domains PDF Author: Gelu Popescu
Publisher: American Mathematical Soc.
ISBN: 0821847104
Category : Dilation theory (Operator theory).
Languages : en
Pages : 137

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Book Description
"Volume 205, number 964 (third of 5 numbers)."

Multivariable Operator Theory

Multivariable Operator Theory PDF Author: Ernst Albrecht
Publisher: Springer Nature
ISBN: 3031505352
Category : Mathematics
Languages : en
Pages : 893

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Book Description
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

Noncommutative Analysis, Operator Theory and Applications PDF Author: Daniel Alpay
Publisher: Birkhäuser
ISBN: 3319291165
Category : Mathematics
Languages : en
Pages : 283

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Book Description
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

Noncommutative Function-Theoretic Operator Theory and Applications PDF Author: Joseph A. Ball
Publisher: Cambridge University Press
ISBN: 131651899X
Category : Mathematics
Languages : en
Pages : 439

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Book Description
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

Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology PDF Author: Raul E Curto
Publisher: Springer Nature
ISBN: 3030433803
Category : Mathematics
Languages : en
Pages : 531

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Book Description
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

Foundations of Free Noncommutative Function Theory PDF Author: Dmitry S. Kaliuzhnyi-Verbovetskyi
Publisher: American Mathematical Soc.
ISBN: 1470416972
Category : Mathematics
Languages : en
Pages : 183

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Book Description
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

Optimal Domain and Integral Extension of Operators PDF Author: S. Okada
Publisher: Springer Science & Business Media
ISBN: 3764386487
Category : Mathematics
Languages : en
Pages : 406

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Book Description
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.

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

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Book Description


Small Modifications of Quadrature Domains

Small Modifications of Quadrature Domains PDF Author: Makoto Sakai
Publisher: American Mathematical Soc.
ISBN: 0821848100
Category : Fluid mechanics
Languages : en
Pages : 282

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Book Description
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.