Noncommutative Function-Theoretic Operator Theory and Applications (Hardcover)

Language: English

Published by Cambridge University Press, Cambridge, 2021

131651899X / 9781316518991

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Hardcover. 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 BeurlingLax 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 BrangesRovnyak 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. 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. This item is printed on demand. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability.

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Title
Noncommutative Function-Theoretic Operator Theory and Applications (Hardcover)
Author
Joseph A. Ball
Publisher
Cambridge University Press, Cambridge
Publication year
2021
Condition
new
Binding
Hardcover
Language
English
ISBN 10
131651899X
ISBN 13
9781316518991

CitiRetail

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