Noncommutative Function-Theoretic Operator Theory and Applications PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Noncommutative Function-Theoretic Operator Theory and Applications PDF full book. Access full book title Noncommutative Function-Theoretic Operator Theory and Applications by Joseph A. Ball. Download full books in PDF and EPUB format.
Author: Joseph A. Ball
Publisher: Cambridge University Press
ISBN: 131651899X
Category : Mathematics
Languages : en
Pages : 439
Get Book Here
Book Description
This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Author: Joseph A. Ball
Publisher: Cambridge University Press
ISBN: 131651899X
Category : Mathematics
Languages : en
Pages : 439
Get Book Here
Book Description
This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.
Author: Joseph A. Ball
Publisher: Cambridge University Press
ISBN: 1009020102
Category : Mathematics
Languages : en
Pages : 440
Get Book Here
Book Description
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: Marek Ptak
Publisher: Springer Nature
ISBN: 3031506138
Category :
Languages : en
Pages : 423
Get Book Here
Book Description
Author: Daniel Alpay
Publisher: Springer Nature
ISBN: 3031214609
Category : Mathematics
Languages : en
Pages : 424
Get Book Here
Book Description
This book features a collection of papers by plenary, semi-plenary and invited contributors at IWOTA2021, held at Chapman University in hybrid format in August 2021. The topics span areas of current research in operator theory, mathematical physics, and complex analysis.
Author: Jim Agler
Publisher: Cambridge University Press
ISBN: 1108485448
Category : Mathematics
Languages : en
Pages : 393
Get Book Here
Book Description
This monograph, aimed at graduate students and researchers, explores the use of Hilbert space methods in function theory. Explaining how operator theory interacts with function theory in one and several variables, the authors journey from an accessible explanation of the techniques to their uses in cutting edge research.
Author: M. Amélia Bastos
Publisher: Springer Nature
ISBN: 3030519457
Category : Mathematics
Languages : en
Pages : 654
Get Book Here
Book Description
This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.
Author: Hideaki Ikoma
Publisher: Cambridge University Press
ISBN: 1108998194
Category : Mathematics
Languages : en
Pages : 180
Get Book Here
Book Description
The Mordell conjecture (Faltings's theorem) is one of the most important achievements in Diophantine geometry, stating that an algebraic curve of genus at least two has only finitely many rational points. This book provides a self-contained and detailed proof of the Mordell conjecture following the papers of Bombieri and Vojta. Also acting as a concise introduction to Diophantine geometry, the text starts from basics of algebraic number theory, touches on several important theorems and techniques (including the theory of heights, the Mordell–Weil theorem, Siegel's lemma and Roth's lemma) from Diophantine geometry, and culminates in the proof of the Mordell conjecture. Based on the authors' own teaching experience, it will be of great value to advanced undergraduate and graduate students in algebraic geometry and number theory, as well as researchers interested in Diophantine geometry as a whole.
Author: János Kollár
Publisher: Cambridge University Press
ISBN: 1009346105
Category : Mathematics
Languages : en
Pages : 491
Get Book Here
Book Description
The first complete treatment of the moduli theory of varieties of general type, laying foundations for future research.
Author: Annette Huber
Publisher: Cambridge University Press
ISBN: 1009022717
Category : Mathematics
Languages : en
Pages : 266
Get Book Here
Book Description
This exploration of the relation between periods and transcendental numbers brings Baker's theory of linear forms in logarithms into its most general framework, the theory of 1-motives. Written by leading experts in the field, it contains original results and finalises the theory of linear relations of 1-periods, answering long-standing questions in transcendence theory. It provides a complete exposition of the new theory for researchers, but also serves as an introduction to transcendence for graduate students and newcomers. It begins with foundational material, including a review of the theory of commutative algebraic groups and the analytic subgroup theorem as well as the basics of singular homology and de Rham cohomology. Part II addresses periods of 1-motives, linking back to classical examples like the transcendence of π, before the authors turn to periods of algebraic varieties in Part III. Finally, Part IV aims at a dimension formula for the space of periods of a 1-motive in terms of its data.
Author: Jonathan Pila
Publisher: Cambridge University Press
ISBN: 1009170325
Category : Mathematics
Languages : en
Pages : 267
Get Book Here
Book Description
Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.
