Multivariable Operator Theory PDF Download
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Author | : Ernst Albrecht |
Publisher | : Springer Nature |
Total Pages | : 893 |
Release | : 2024-01-22 |
Genre | : Mathematics |
ISBN | : 3031505352 |
Download Multivariable Operator Theory Book in PDF, ePub and Kindle
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.
Author | : Raúl E. Curto |
Publisher | : American Mathematical Soc. |
Total Pages | : 396 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : 0821802984 |
Download Multivariable Operator Theory Book in PDF, ePub and Kindle
This is a collection of papers presented at a conference on multivariable operator theory. The articles contain contributions to a variety of areas and topics which may be viewed as forming an emerging new subject. This subject involves the study of geometric rather than topological invariants associated with the general theme of operator theory in several variables. This collection will spur further discussion among the different research groups.
Author | : Gelu Popescu |
Publisher | : American Mathematical Soc. |
Total Pages | : 105 |
Release | : 2009-06-05 |
Genre | : Mathematics |
ISBN | : 0821843966 |
Download Unitary Invariants in Multivariable Operator Theory Book in PDF, ePub and Kindle
This paper concerns unitary invariants for $n$-tuples $T:=(T_1,\ldots, T_n)$ of (not necessarily commuting) bounded linear operators on Hilbert spaces. The author introduces a notion of joint numerical radius and works out its basic properties. Multivariable versions of Berger's dilation theorem, Berger-Kato-Stampfli mapping theorem, and Schwarz's lemma from complex analysis are obtained. The author studies the joint (spatial) numerical range of $T$ in connection with several unitary invariants for $n$-tuples of operators such as: right joint spectrum, joint numerical radius, euclidean operator radius, and joint spectral radius. He also proves an analogue of Toeplitz-Hausdorff theorem on the convexity of the spatial numerical range of an operator on a Hilbert space, for the joint numerical range of operators in the noncommutative analytic Toeplitz algebra $F_n^\infty$.
Author | : Deguang Han |
Publisher | : American Mathematical Soc. |
Total Pages | : 440 |
Release | : 2006 |
Genre | : Mathematics |
ISBN | : 0821839233 |
Download Operator Theory, Operator Algebras, and Applications Book in PDF, ePub and Kindle
This book offers a presentation of some new trends in operator theory and operator algebras, with a view to their applications. It consists of separate papers written by some of the leading practitioners in the field. The content is put together by the three editors in a way that should help students and working mathematicians in other parts of the mathematical sciences gain insight into an important part of modern mathematics and its applications. While different specialist authors are outlining new results in this book, the presentations have been made user friendly with the aid of tutorial material. In fact, each paper contains three things: a friendly introduction with motivation, tutorial material, and new research. The authors have strived to make their results relevant to the rest of mathematics. A list of topics discussed in the book includes wavelets, frames and their applications, quantum dynamics, multivariable operator theory, $C*$-algebras, and von Neumann algebras. Some longer papers present recent advances on particular, long-standing problems such as extensions and dilations, the Kadison-Singer conjecture, and diagonals of self-adjoint operators.
Author | : Roland Duduchava |
Publisher | : Birkhäuser |
Total Pages | : 313 |
Release | : 2018-03-28 |
Genre | : Mathematics |
ISBN | : 3319625276 |
Download Operator Theory in Different Settings and Related Applications Book in PDF, ePub and Kindle
This book provides a selection of reports and survey articles on the latest research in the area of single and multivariable operator theory and related fields. The latter include singular integral equations, ordinary and partial differential equations, complex analysis, numerical linear algebra, and real algebraic geometry – all of which were among the topics presented at the 26th International Workshop in Operator Theory and its Applications, held in Tbilisi, Georgia, in the summer of 2015. Moreover, the volume includes three special commemorative articles. One of them is dedicated to the memory of Leiba Rodman, another to Murray Marshall, and a third to Boris Khvedelidze, an outstanding Georgian mathematician and one of the founding fathers of the theory of singular integral equations. The book will be of interest to a broad range of mathematicians, from graduate students to researchers, whose primary interests lie in operator theory, complex analysis and applications, as well as specialists in mathematical physics.
Author | : Devin Cameron Vaughan Greene |
Publisher | : |
Total Pages | : 158 |
Release | : 2001 |
Genre | : |
ISBN | : |
Download On Certain Invariants in Multivariable Operator Theory Book in PDF, ePub and Kindle
Author | : Harry Dym |
Publisher | : Springer Science & Business Media |
Total Pages | : 635 |
Release | : 2012-02-01 |
Genre | : Mathematics |
ISBN | : 3034802218 |
Download A Panorama of Modern Operator Theory and Related Topics Book in PDF, ePub and Kindle
This book is dedicated to the memory of Israel Gohberg (1928–2009) – one of the great mathematicians of our time – who inspired innumerable fellow mathematicians and directed many students. The volume reflects the wide spectrum of Gohberg’s mathematical interests. It consists of more than 25 invited and peer-reviewed original research papers written by his former students, co-authors and friends. Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators. Also treated are canonical differential systems, interpolation, completion and extension problems, numerical linear algebra and mathematical systems theory.
Author | : Joseph A. Ball |
Publisher | : Cambridge University Press |
Total Pages | : 440 |
Release | : 2021-12-16 |
Genre | : Mathematics |
ISBN | : 1009020102 |
Download Noncommutative Function-Theoretic Operator Theory and Applications Book in PDF, ePub and Kindle
This concise monograph explores how core ideas in Hardy space function theory and operator theory continue to be useful and informative in new settings, leading to new insights for noncommutative multivariable operator theory. Beginning with a review of the confluence of system theory ideas and reproducing kernel techniques, the book then covers representations of backward-shift-invariant subspaces in the Hardy space as ranges of observability operators, and representations for forward-shift-invariant subspaces via a Beurling–Lax representer equal to the transfer function of the linear system. This pair of backward-shift-invariant and forward-shift-invariant subspace form a generalized orthogonal decomposition of the ambient Hardy space. All this leads to the de Branges–Rovnyak model theory and characteristic operator function for a Hilbert space contraction operator. The chapters that follow generalize the system theory and reproducing kernel techniques to enable an extension of the ideas above to weighted Bergman space multivariable settings.
Author | : Hari Bercovici |
Publisher | : CRC Press |
Total Pages | : 167 |
Release | : 2017-08-07 |
Genre | : Mathematics |
ISBN | : 1317974611 |
Download Recent Advances in Operator Theory and Operator Algebras Book in PDF, ePub and Kindle
This book will contain lectures given by four eminent speakers at the Recent Advances in Operator Theory and Operator Algebras conference held at the Indian Statistical Institute, Bangalore, India in 2014. The main aim of this book is to bring together various results in one place with cogent introduction and references for further study.
Author | : Tirthankar Bhattacharyya |
Publisher | : Birkhäuser |
Total Pages | : 207 |
Release | : 2015-09-29 |
Genre | : Mathematics |
ISBN | : 3319181823 |
Download Operator Algebras and Mathematical Physics Book in PDF, ePub and Kindle
This volume gathers contributions from the International Workshop on Operator Theory and Its Applications (IWOTA) held in Bangalore, India, in December 2013. All articles were written by experts and cover a broad range of original material at the cutting edge of operator theory and its applications. Topics include multivariable operator theory, operator theory on indefinite metric spaces (Krein and Pontryagin spaces) and its applications, spectral theory with applications to differential operators, the geometry of Banach spaces, scattering and time varying linear systems, and wavelets and coherent states.