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Noncommutative Function-Theoretic Operator Theory and Applications (Cambridge Tracts in Mathematics, Series Number 225) free ebook download

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Date:	2021	Format:	pdf	Language:	English	ISBN/ASIN:	131651899X
Pages:	300	OCR:		Quality:		ISBN13:
Uploader:	alex21s	Upload Date:	4/11/2022 10:18:22 PM

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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.
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3113010	Book	https://nitro.download/view/2B07CB2317AB...		0.00	alex21s

Tags: Applications Cambridge Mathematics Noncommutative Number Operator Theory Tracts

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Noncommutative Function-Theoretic Operator Theory and Applications (Cambridge Tracts in Mathematics, Series Number 225) free ebook download

Category: Mathematics

Description: Click to see full description

Category:
Mathematics