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Noncommutative Function-Theoretic Operator Theory and Applications (Cambridge Tracts in Mathematics, Series Number 225) by Joseph A. Ball, Vladimir Bolotnikov is a nonfiction available to read on EtoBox.

What is Noncommutative Function-Theoretic Operator Theory and Applications (Cambridge Tracts in Mathematics, Series Number 225) about?

"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 subspacesubspaces 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"-- Provided by publisher.

Who reads Noncommutative Function-Theoretic Operator Theory and Applications (Cambridge Tracts in Mathematics, Series Number 225)?

Author

Joseph A. Ball, Vladimir Bolotnikov

Publisher

Cambridge University Press (Virtual Publishing)

Published

2021

Language

EN

ISBN

9781009004305

Category

nonfiction

Subjects

Mathematics, Stem