Noncommutative Function-Theoretic Operator Theory and Applications

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Release : 2021-12-16
Genre : Mathematics
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Book Rating : 102/5 ( reviews)

Noncommutative Function-Theoretic Operator Theory and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Noncommutative Function-Theoretic Operator Theory and Applications write by Joseph A. Ball. This book was released on 2021-12-16. Noncommutative Function-Theoretic Operator Theory and Applications available in PDF, EPUB and Kindle. 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

Download Noncommutative Function-Theoretic Operator Theory and Applications PDF Online Free

Author :
Release : 2021-12-16
Genre : Mathematics
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Book Rating : 99X/5 ( reviews)

Noncommutative Function-Theoretic Operator Theory and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Noncommutative Function-Theoretic Operator Theory and Applications write by Joseph A. Ball. This book was released on 2021-12-16. Noncommutative Function-Theoretic Operator Theory and Applications available in PDF, EPUB and Kindle. This concise volume shows how ideas from function and systems theory lead to new insights for noncommutative multivariable operator theory.

Noncommutative Analysis, Operator Theory and Applications

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Release : 2016-06-30
Genre : Mathematics
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Book Rating : 165/5 ( reviews)

Noncommutative Analysis, Operator Theory and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Noncommutative Analysis, Operator Theory and Applications write by Daniel Alpay. This book was released on 2016-06-30. Noncommutative Analysis, Operator Theory and Applications available in PDF, EPUB and Kindle. This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.

Operator and Matrix Theory, Function Spaces, and Applications

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Book Rating : 138/5 ( reviews)

Operator and Matrix Theory, Function Spaces, and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Operator and Matrix Theory, Function Spaces, and Applications write by Marek Ptak. This book was released on . Operator and Matrix Theory, Function Spaces, and Applications available in PDF, EPUB and Kindle.

Operator Theory on Noncommutative Domains

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Release : 2010
Genre : Mathematics
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Book Rating : 104/5 ( reviews)

Operator Theory on Noncommutative Domains - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Operator Theory on Noncommutative Domains write by Gelu Popescu. This book was released on 2010. Operator Theory on Noncommutative Domains available in PDF, EPUB and Kindle. "Volume 205, number 964 (third of 5 numbers)."