Noncommutative Function-Theoretic Operator Theory and Applications

Noncommutative Function-Theoretic Operator Theory and Applications
Author :
Publisher : Cambridge University Press
Total Pages : 440
Release :
ISBN-10 : 9781009020107
ISBN-13 : 1009020102
Rating : 4/5 (102 Downloads)

Book Synopsis Noncommutative Function-Theoretic Operator Theory and Applications by : Joseph A. Ball

Download or read book Noncommutative Function-Theoretic Operator Theory and Applications written by Joseph A. Ball and published by Cambridge University Press. This book was released on 2021-12-16 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Noncommutative Function-Theoretic Operator Theory and Applications Related Books

Noncommutative Analysis, Operator Theory and Applications
Language: en
Pages: 285
Authors: Daniel Alpay
Categories: Mathematics
Type: BOOK - Published: 2016-06-30 - Publisher: Birkhäuser

DOWNLOAD EBOOK

This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics an
Noncommutative Function-Theoretic Operator Theory and Applications
Language: en
Pages: 440
Authors: Joseph A. Ball
Categories: Mathematics
Type: BOOK - Published: 2021-12-16 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

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
Noncommutative Functional Calculus
Language: en
Pages: 228
Authors: Prof. Fabrizio Colombo Politecnico di Milano
Categories: Mathematics
Type: BOOK - Published: 2011-03-18 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

This book presents a functional calculus for n-tuples of not necessarily commuting linear operators. In particular, a functional calculus for quaternionic linea
Non-commutative Analysis
Language: en
Pages: 562
Authors: Palle Jorgensen
Categories: Mathematics
Type: BOOK - Published: 2017-01-24 - Publisher: World Scientific

DOWNLOAD EBOOK

'This is a book to be read and worked with. For a beginning graduate student, this can be a valuable experience which at some points in fact leads up to recent
Non-commutative Gelfand Theories
Language: en
Pages: 388
Authors: Steffen Roch
Categories: Mathematics
Type: BOOK - Published: 2010-11-19 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

Written as a hybrid between a research monograph and a textbook the first half of this book is concerned with basic concepts for the study of Banach algebras th