Noncommutative Function-Theoretic Operator Theory and Applications (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 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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Tracts in Mathematics
Release date:	December 2021
Authors:	Joseph A Ball • Vladimir Bolotnikov
Dimensions:	235 x 159 x 32mm (L x W x T)
Format:	Hardcover
Pages:	300
ISBN-13:	978-1-316-51899-1
Categories:	Books > Science & Mathematics > Mathematics > General Promotions
LSN:	1-316-51899-X
Barcode:	9781316518991

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