Noncommutative Function Theoretic Operator Theory And Applications


Noncommutative Function Theoretic Operator Theory And Applications
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Noncommutative Function Theoretic Operator Theory And Applications


Noncommutative Function Theoretic Operator Theory And Applications
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Author : Joseph A. Ball
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16

Noncommutative Function Theoretic Operator Theory And Applications written by Joseph A. Ball and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Mathematics categories.


This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.



Noncommutative Analysis Operator Theory And Applications


Noncommutative Analysis Operator Theory And Applications
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Author : Daniel Alpay
language : en
Publisher: Birkhäuser
Release Date : 2018-05-31

Noncommutative Analysis Operator Theory And Applications written by Daniel Alpay and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-31 with Mathematics categories.


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.



Foundations Of Free Noncommutative Function Theory


Foundations Of Free Noncommutative Function Theory
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Author : Dmitry S. Kaliuzhnyi-Verbovetskyi
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-11-19

Foundations Of Free Noncommutative Function Theory written by Dmitry S. Kaliuzhnyi-Verbovetskyi and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-19 with Mathematics categories.


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.



Operator Theory In Function Spaces


Operator Theory In Function Spaces
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Author : Kehe Zhu
language : en
Publisher: American Mathematical Soc.
Release Date : 2007

Operator Theory In Function Spaces written by Kehe Zhu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Function spaces categories.


This book covers Toeplitz operators, Hankel operators, and composition operators on both the Bergman space and the Hardy space. The setting is the unit disk and the main emphasis is on size estimates of these operators: boundedness, compactness, and membership in the Schatten classes. Most results concern the relationship between operator-theoretic properties of these operators and function-theoretic properties of the inducing symbols. Thus a good portion of the book is devoted to the study of analytic function spaces such as the Bloch space, Besov spaces, and BMOA, whose elements are to be used as symbols to induce the operators we study. The book is intended for both research mathematicians and graduate students in complex analysis and operator theory. The prerequisites are minimal; a graduate course in each of real analysis, complex analysis, and functional analysis should sufficiently prepare the reader for the book. Exercises and bibliographical notes are provided at the end of each chapter. These notes will point the reader to additional results and problems. Kehe Zhu is a professor of mathematics at the State University of New York at Albany. His previous books include Theory of Bergman Spaces (Springer, 2000, with H. Hedenmalm and B. Korenblum) and Spaces of Holomorphic Functions in the Unit Ball (Springer, 2005). His current research interests are holomorphic function spaces and operators acting on them.



Operator And Matrix Theory Function Spaces And Applications


Operator And Matrix Theory Function Spaces And Applications
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Author : Marek Ptak
language : en
Publisher: Springer Nature
Release Date :

Operator And Matrix Theory Function Spaces And Applications written by Marek Ptak and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Operator Theory Operator Algebras And Their Interactions With Geometry And Topology


Operator Theory Operator Algebras And Their Interactions With Geometry And Topology
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Author : Raul E Curto
language : en
Publisher: Springer Nature
Release Date : 2020-12-12

Operator Theory Operator Algebras And Their Interactions With Geometry And Topology written by Raul E Curto and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-12 with Mathematics categories.


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.



Operator Theory In Harmonic And Non Commutative Analysis


Operator Theory In Harmonic And Non Commutative Analysis
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Author : Joseph A. Ball
language : en
Publisher: Springer
Release Date : 2014-06-21

Operator Theory In Harmonic And Non Commutative Analysis written by Joseph A. Ball and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-21 with Mathematics categories.


This book contains the proceedings of the 23rd International Workshop on Operator Theory and its Applications (IWOTA 2012), which was held at the University of New South Wales (Sydney, Australia) from 16 July to 20 July 2012. It includes twelve articles presenting both surveys of current research in operator theory and original results.



Spectral Properties Of Certain Operators On A Free Hilbert Space And The Semicircular Law


Spectral Properties Of Certain Operators On A Free Hilbert Space And The Semicircular Law
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Author : Ilwoo Cho
language : en
Publisher: Elsevier
Release Date : 2023-04-21

Spectral Properties Of Certain Operators On A Free Hilbert Space And The Semicircular Law written by Ilwoo Cho and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-21 with Mathematics categories.


In Spectral Properties of Certain Operators on a Free Hilbert Space and the Semicircular Law, the authors consider the so-called free Hilbert spaces, which are the Hilbert spaces induced by the usual l2 Hilbert spaces and operators acting on them. The construction of these operators itself is interesting and provides new types of Hilbert-space operators. Also, by considering spectral-theoretic properties of these operators, the authors illustrate how “free-Hilbert-space Operator Theory is different from the classical Operator Theory. More interestingly, the authors demonstrate how such operators affect the semicircular law induced by the ONB-vectors of a fixed free Hilbert space. Different from the usual approaches, this book shows how “inside actions of operator algebra deform the free-probabilistic information—in particular, the semicircular law. Presents the spectral properties of three types of operators on a Hilbert space, in particular how these operators affect the semicircular law Demonstrates how the semicircular law is deformed by actions "from inside", as opposed to actions "from outside" considered by previous theory Explores free Hilbert spaces and their modeling applications Authored by two leading researchers in Operator Theory and Operator Algebra



Operator Theory On Noncommutative Domains


Operator Theory On Noncommutative Domains
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Author : Gelu Popescu
language : en
Publisher: American Mathematical Soc.
Release Date : 2010

Operator Theory On Noncommutative Domains written by Gelu Popescu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Dilation theory (Operator theory). categories.


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



Applications Of Functional Analysis And Operator Theory


Applications Of Functional Analysis And Operator Theory
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Author : V. Hutson
language : en
Publisher: Elsevier
Release Date : 2005-02-08

Applications Of Functional Analysis And Operator Theory written by V. Hutson and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-02-08 with Mathematics categories.


Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results Introduces each new topic with a clear, concise explanation Includes numerous examples linking fundamental principles with applications Solidifies the reader's understanding with numerous end-of-chapter problems